Edit Profile (opens in new tab) Shorten, Robert N. Co-Author Distance Author ID: shorten.robert-n Published as: Shorten, Robert; Shorten, R.; Shorten, Robert N.; Shorten, R. N. more...less Documents Indexed: 168 Publications since 1999, including 1 Book and 26 Additional arXiv Preprints 2 Contributions as Editor Co-Authors: 103 Co-Authors with 170 Joint Publications 1,940 Co-Co-Authors all top 5 Co-Authors 0 single-authored 30 Corless, Martin J. 25 Wirth, Fabian Roger 18 Mason, Oliver 17 King, Christopher Kevin 15 Mareček, Jakub 15 Yu, Jiayuan 13 Lhachemi, Hugo 12 Crisostomi, Emanuele 12 Griggs, Wynita M. 11 Wulff, Kai 10 Zeheb, Ezra 9 Souza, Matheus 8 Solmaz, Selim 7 Alam, Syed Eqbal 6 Colaneri, Patrizio 6 Curran, Paul F. 6 Ghosh, Ramen 6 Knorn, Florian 6 Narendra, Kumpati S. 6 O’Cairbre, Fiacre 6 Ordóñez-Hurtado, Rodrigo Hernán 6 Russo, Giovanni 6 Stanojević, Rade 5 Berman, Abraham S. 5 Fioravanti, André Ricardo 5 Leith, Douglas J. 5 Middleton, Richard Hume 5 Stüdli, Sonja 5 Zhuk, Sergiĭ M. 4 Heffernan, Daniel M. 4 Kirkland, Stephen J. 4 Prieur, Christophe 4 Sajja, Surya Shravan Kumar 3 Epperlein, Jonathan P. 3 Ferraro, Pietro 3 Häusler, Florian 3 Liu, Mingming 3 Schlote, Arieh 2 Akar, Mehmet 2 Anderson, Brian David Outram 2 Faizrahnemoon, Mahsa 2 Geromel, Jose Claudio 2 Gu, Yingqi 2 Kouhi, Yashar 2 Kungurtsev, Vyacheslav 2 Laffey, Thomas J. 2 Monteil, Julien 2 Murray-Smith, Roderick 2 Overko, Roman 2 Readman, Mark C. 2 Rossi, Francesco 2 Rothblum, Uriel George 2 Sajja, Shravan 2 Taheri, Nicole 2 Villegas, Carlos 2 Yfoulis, Christos A. 2 Zhou, Quan 1 Bajcinca, Naim 1 Bjørgan, Roger 1 Bokharaie, Vahid Samadi 1 Bolzern, Paolo 1 Boniolo, I. 1 Bouneffouf, Djallel 1 Breen, Jane 1 Chesi, Graziano 1 Cullen, Andrew C. 1 Eck, Bradley J. 1 Falchetto, Vinícius B. 1 Foy, John 1 Frank, Jason 1 Ghaddar, Bissan 1 Goldberg, Felix 1 Gollee, Henrik 1 Herlin, Isabelle L. 1 Herrmann, Adam 1 Kaminski, Jeremy Yirmeyahu 1 Keating, John G. 1 Kilduff, R. 1 Klinge, Steffi 1 Lanzon, Alexander 1 Leithead, William E. 1 Leizarowitz, Arie 1 Maggi, Lorenzo 1 Malik, Ammar 1 Mannion, Andrew 1 Mevissen, Martin 1 Naoum-Sawaya, Joe 1 Naughton, David 1 Obereigner, Gunda 1 Quinn, Anthony 1 Quinn, Karl 1 Raisch, Jörg 1 Roubalik, Michal 1 Saussié, David 1 Sinnott, Sam 1 Sun, Zhendong 1 Sweeney, Shaun 1 Tchrakian, Tigran T. 1 Y., Sarah Boufelja 1 Yılmaz, Serife ...and 3 more Co-Authors all top 5 Serials 29 International Journal of Control 28 Automatica 27 IEEE Transactions on Automatic Control 11 Linear Algebra and its Applications 8 Systems & Control Letters 4 PAMM. Proceedings in Applied Mathematics and Mechanics 2 IMA Journal of Applied Mathematics 2 Chaos, Solitons and Fractals 2 International Journal of Adaptive Control and Signal Processing 2 SIAM Journal on Scientific Computing 2 European Journal of Control 1 Linear and Multilinear Algebra 1 Physics Letters. A 1 SIAM Journal on Control and Optimization 1 IMA Journal of Mathematical Control and Information 1 SIAM Journal on Matrix Analysis and Applications 1 Automation and Remote Control 1 SIAM Review 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 The Journal of Artificial Intelligence Research (JAIR) 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of the ACM 1 Mathematical Proceedings of the Royal Irish Academy 1 Lecture Notes in Computer Science 1 Advances in Design and Control all top 5 Fields 120 Systems theory; control (93-XX) 21 Operations research, mathematical programming (90-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 15 Ordinary differential equations (34-XX) 15 Computer science (68-XX) 9 Probability theory and stochastic processes (60-XX) 7 Partial differential equations (35-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Information and communication theory, circuits (94-XX) 3 Difference and functional equations (39-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 108 Publications have been cited 1,369 times in 909 Documents Cited by ▼ Year ▼ Stability criteria for switched and hybrid systems. Zbl 1127.93005 Shorten, Robert; Wirth, Fabian; Mason, Oliver; Wulff, Kai; King, Christopher 293 2007 On linear copositive Lyapunov functions and the stability of switched positive linear systems. Zbl 1366.34077 Mason, O.; Shorten, R. 126 2007 On the stability of switched positive linear systems. Zbl 1366.93436 Gurvits, L.; Shorten, R.; Mason, O. 107 2007 On linear co-positive Lyapunov functions for sets of linear positive systems. Zbl 1185.93122 Knorn, Florian; Mason, Oliver; Shorten, Robert 71 2009 A nonconservative LMI condition for stability of switched systems with guaranteed dwell time. Zbl 1369.93524 Chesi, Graziano; Colaneri, Patrizio; Geromel, Jose C.; Middleton, Richard; Shorten, Robert 48 2012 A result on common quadratic Lyapunov functions. Zbl 1364.93580 Shorten, Robert; Narendra, Kumpati S.; Mason, Oliver 41 2003 Analysis and design of AIMD congestion control algorithms in communication networks. Zbl 1061.93531 Shorten, R. N.; Leith, D. J.; Foy, J.; Kilduff, R. 41 2005 On common quadratic Lyapunov functions for pairs of stable LTI systems whose system matrices are in companion form. Zbl 1364.93579 Shorten, Robert N.; Narendra, Kumpati S. 39 2003 Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function for a finite number of stable second-order linear time-invariant systems. Zbl 1027.93037 Shorten, Robert N.; Narendra, Kumpati S. 33 2002 On the simultaneous diagonal stability of a pair of positive linear systems. Zbl 1094.93021 Mason, Oliver; Shorten, Robert 28 2006 Issues in the design of switched linear control systems: A benchmark study. Zbl 1016.93026 Leith, D. J.; Shorten, R. N.; Leithead, W. E.; Mason, O.; Curran, P. 24 2003 A Google-like model of road network dynamics and its application to regulation and control. Zbl 1222.93212 Crisostomi, E.; Kirkland, S.; Shorten, R. 21 2011 Hurwitz stability of Metzler matrices. Zbl 1368.93603 Narendra, Kumpati S.; Shorten, Robert 19 2010 An LMI condition for the robustness of constant-delay linear predictor feedback with respect to uncertain time-varying input delays. Zbl 1429.93279 Lhachemi, Hugo; Prieur, Christophe; Shorten, Robert 19 2019 Boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and state-delay. Zbl 1440.93202 Lhachemi, Hugo; Shorten, Robert 19 2020 An alternative proof of the Barker, Berman, Plemmons (BBP) result on diagonal stability and extensions. Zbl 1149.93025 Shorten, Robert; Mason, Oliver; King, Christopher 17 2009 Quadratic stability and singular SISO switching systems. Zbl 1367.93444 Shorten, Robert; Corless, Martin; Wulff, Kai; Klinge, Steffi; Middleton, Richard 14 2009 A unifying framework for the SISO circle criterion and other quadratic stability criteria. Zbl 1050.93059 Shorten, Robert N.; Mason, Oliver; O’Cairbre, Fiacre; Curran, Paul 13 2004 A numerical technique for the stability analysis of linear switched systems. Zbl 1069.93034 Yfoulis, C. A.; Shorten, R. 12 2004 ISS property with respect to boundary disturbances for a class of Riesz-spectral boundary control systems. Zbl 1429.93311 Lhachemi, Hugo; Shorten, Robert 12 2019 Switching controller design with dwell-times and sampling. Zbl 1390.93417 Souza, Matheus; Fioravanti, André R.; Corless, Martin; Shorten, Robert N. 11 2017 Robustness of constant-delay predictor feedback for in-domain stabilization of reaction-diffusion PDEs with time- and spatially-varying input delays. Zbl 1461.93403 Lhachemi, Hugo; Prieur, Christophe; Shorten, Robert 11 2021 Synthesizing chaotic maps with prescribed invariant densities. Zbl 1209.37036 Rogers, Alan; Shorten, Robert; Heffernan, Daniel M. 11 2004 A note on spectral conditions for positive realness of transfer function matrices. Zbl 1367.93570 Shorten, Robert N.; Curran, Paul; Wulff, Kai; Zeheb, Ezra 10 2008 A novel matrix approach for controlling the invariant densities of chaotic maps. Zbl 1142.37030 Rogers, Alan; Shorten, Robert; Heffernan, Daniel M. 10 2008 On Padé approximations, quadratic stability and discretization of switched linear systems. Zbl 1226.93079 Shorten, R.; Corless, M.; Sajja, S.; Solmaz, S. 9 2011 Singularity conditions for the non-existence of a common quadratic Lyapunov function for pairs of third order linear time invariant dynamic systems. Zbl 1102.93035 King, Christopher; Shorten, Robert 9 2006 Modelling TCP congestion control dynamics in drop-tail environments. Zbl 1137.93307 Shorten, Robert; King, Chris; Wirth, Fabian; Leith, Douglas 9 2007 The geometry of convex cones associated with the Lyapunov inequality and the common Lyapunov function problem. Zbl 1172.37307 Mason, Oliver; Shorten, Robert 8 2005 On common quadratic Lyapunov functions for stable discrete-time LTI systems. Zbl 1067.93057 Mason, Oliver; Shorten, Robert 8 2004 Synthesis of piecewise-linear chaotic maps: invariant densities, autocorrelations, and switching. Zbl 1165.37319 Rogers, Alan; Shorten, Robert; Heffernan, Daniel M.; Naughton, David 8 2008 Exponential input-to-state stabilization of a class of diagonal boundary control systems with delay boundary control. Zbl 1436.93123 Lhachemi, Hugo; Shorten, Robert; Prieur, Christophe 8 2020 On a theorem of Redheffer concerning diagonal stability. Zbl 1207.34068 Shorten, Robert; Narendra, Kumpati S. 8 2009 Exact stability test and stabilization for fractional systems. Zbl 1322.93091 Kaminski, J. Y.; Shorten, R.; Zeheb, E. 7 2015 A proof of global attractivity for a class of switching systems using a non-quadratic Lyapunov approach. Zbl 0992.93084 Shorten, Robert; Ó Cairbre, Fiacre 7 2001 A design methodology for switched discrete time linear systems with applications to automotive roll dynamics control. Zbl 1153.93496 Solmaz, Selim; Shorten, Robert; Wulff, Kai; Ó Cairbre, Fiacre 7 2008 Some stability tests for switched descriptor systems. Zbl 1429.93309 Sajja, Shravan; Corless, Martin; Zeheb, Ezra; Shorten, Robert 7 2019 Stability and D-stability for switched positive systems. Zbl 1182.93097 Mason, Oliver; Bokharaie, Vahid S.; Shorten, Robert 7 2009 Stochastic equilibria of aimd communication networks. Zbl 1120.15020 Wirth, F.; Stanojević, R.; Shorten, R.; Leith, D. 7 2006 On convergence rates of simultaneously triangularizable switched linear systems. Zbl 1365.93455 Sun, Zhendong; Shorten, Robert 6 2005 On synchronization in continuous-time networks of nonlinear nodes with state-dependent and degenerate noise diffusion. Zbl 1423.93029 Russo, Giovanni; Wirth, Fabian; Shorten, Robert 6 2019 Positive matrices associated with synchronised communication networks. Zbl 1062.93024 Berman, Abraham; Shorten, Robert; Leith, Douglas 6 2004 Traffic modelling framework for electric vehicles. Zbl 1282.93041 Schlote, Arieh; Crisostomi, Emanuele; Kirkland, Stephen; Shorten, Robert 6 2012 A framework for decentralised feedback connectivity control with application to sensor networks. Zbl 1175.93004 Knorn, F.; Stanojevic, R.; Corless, M.; Shorten, R. 6 2009 A methodology for the design of robust rollover prevention controllers for automotive vehicles with active steering. Zbl 1130.93359 Solmaz, S.; Corless, M.; Shorten, R. 6 2007 A new methodology for the stability analysis of pairwise triangularizable and related switching systems. Zbl 1034.93056 Shorten, Robert; Ó Cairbre, Fiacre 6 2002 On the interpretation of local models in blended multiple model structures. Zbl 0938.93544 Shorten, Robert; Murray-Smith, Roderick; Bjørgan, Roger; Gollee, Henrik 5 1999 On the characterization of strict positive realness for general matrix transfer functions. Zbl 1368.93463 Corless, Martin; Shorten, Robert 5 2010 Data assimilation for linear parabolic equations: minimax projection method. Zbl 1320.65146 Zhuk, Sergiy; Frank, Jason; Herlin, Isabelle; Shorten, Robert 5 2015 A control design method for a class of switched linear systems. Zbl 1180.93045 Wulff, Kai; Wirth, Fabian; Shorten, Robert 5 2009 A big-data model for multi-modal public transportation with application to macroscopic control and optimisation. Zbl 1334.93030 Faizrahnemoon, Mahsa; Schlote, Arieh; Maggi, Lorenzo; Crisostomi, Emanuele; Shorten, Robert 5 2015 On \(\mathcal{L}_\infty\) string stability of nonlinear bidirectional asymmetric heterogeneous platoon systems. Zbl 1429.93249 Monteil, Julien; Russo, Giovanni; Shorten, Robert 5 2019 On a class of generalized eigenvalue problems and equivalent eigenvalue problems that arise in systems and control theory. Zbl 1219.93044 Corless, Martin; Shorten, Robert 5 2011 A characterisation of common diagonal stability over cones. Zbl 1260.15049 Berman, Abraham; King, Christopher; Shorten, Robert 5 2012 Input-to-state stability of a clamped-free damped string in the presence of distributed and boundary disturbances. Zbl 07256248 Lhachemi, Hugo; Saussié, David; Zhu, Guchuan; Shorten, Robert 5 2020 On source-term parameter estimation for linear advection-diffusion equations with uncertain coefficients. Zbl 1342.35135 Zhuk, Sergiy; Tchrakian, Tigran T.; Moore, Stephen; Ordóñez-Hurtado, Rodrigo; Shorten, Robert 4 2016 Padé discretization for linear systems with polyhedral Lyapunov functions. Zbl 1368.93181 Rossi, Francesco; Colaneri, Patrizio; Shorten, Robert 4 2011 On dimensionality reduction and the stability of a class of switched descriptor systems. Zbl 1360.93145 Sajja, S.; Corless, M.; Zeheb, E.; Shorten, R. 4 2013 On the SPRification of linear descriptor systems via output feedback. Zbl 1482.93240 Corless, Martin; Zeheb, Ezra; Shorten, Robert 4 2019 A test for determining systems with “mixed” small gain and passivity properties. Zbl 1222.93093 Griggs, Wynita M.; Anderson, Brian D. O.; Shorten, Robert N. 4 2011 On interconnections of “mixed” systems using classical stability theory. Zbl 1250.93093 Griggs, Wynita M.; Sajja, S. Shravan K.; Anderson, Brian D. O.; Shorten, Robert N. 4 2012 On the design and synthesis of limit cycles using switching linear systems. Zbl 1197.93094 Boniolo, I.; Colaneri, P.; Bolzern, P.; Corless, M.; Shorten, R. 4 2010 On the Kalman-Yacubovich-Popov Lemma and common Lyapunov solutions for matrices with regular inertia. Zbl 1123.15008 Mason, Oliver; Shorten, Robert; Solmaz, Selim 4 2007 A note on recursive Schur complements, block Hurwitz stability of Metzler matrices, and related results. Zbl 1373.93277 Souza, Matheus; Wirth, Fabian R.; Shorten, Robert N. 3 2017 Comments on Lyapunov \(\alpha\)-stability with some extension. Zbl 1330.93175 Berman, Abraham; Goldberg, Felix; Shorten, Robert 3 2014 Distributed probabilistic synchronization algorithms for communication networks. Zbl 1367.90018 Akar, Mehmet; Shorten, Robert 3 2008 On the quadratic stability of switched linear systems associated with symmetric transfer function matrices. Zbl 1300.93132 Kouhi, Yashar; Bajcinca, Naim; Raisch, Jörg; Shorten, Robert 3 2014 On the dynamic instability of a class of switching system. Zbl 1330.93178 Shorten, R. N.; Ó Cairbre, F.; Curran, P. 3 2006 On time-domain multiplier criteria for single-input single-output systems. Zbl 1068.93058 Shorten, Robert N.; Curran, Paul F.; Wulff, Kai 3 2004 A flexible distributed framework for realising electric and plug-in hybrid vehicle charging policies. Zbl 1420.90015 Stüdli, S.; Crisostomi, E.; Middleton, R.; Shorten, R. 3 2012 Integral action for setpoint regulation control of a reaction-diffusion equation in the presence of a state delay. Zbl 1478.93204 Lhachemi, Hugo; Malik, Ammar; Shorten, Robert 3 2021 Results in cooperative control and implicit consensus. Zbl 1222.93011 Knorn, F.; Corless, M.; Shorten, R. 3 2011 AIMD dynamics and distributed resource allocation. Zbl 1419.93002 Corless, M.; King, C.; Shorten, R.; Wirth, F. 3 2016 Strict positive realness of descriptor systems in state space. Zbl 1213.93076 Zeheb, Ezra; Shorten, Robert; Sajja, S. Shravan K. 3 2010 Applications of linear co-positive Lyapunov functions for switched linear positive systems. Zbl 1182.93035 Knorn, Florian; Mason, Oliver; Shorten, Robert 3 2009 Quadratic Lyapunov functions for systems with state-dependent switching. Zbl 1191.93126 Griggs, Wynita M.; King, Christopher K.; Shorten, Robert N.; Mason, Oliver; Wulff, Kai 3 2010 Nonlinear AIMD congestion control and contraction mappings. Zbl 1176.90091 Rothblum, Uriel G.; Shorten, Robert 3 2007 Boundary output feedback stabilization of state delayed reaction-diffusion PDEs. Zbl 1520.93402 Lhachemi, Hugo; Shorten, Robert 3 2023 On the AIMD algorithm under saturation constraints. Zbl 1390.90126 Stüdli, S.; Corless, M.; Middleton, R. H.; Shorten, R. 2 2017 On analysis and design of discrete-time constrained switched systems. Zbl 1390.93507 Souza, Matheus; Fioravanti, André R.; Shorten, Robert N. 2 2018 Discretisation of sparse linear systems: an optimisation approach. Zbl 1330.93114 Souza, M.; Geromel, J. C.; Colaneri, P.; Shorten, R. N. 2 2015 Chaotic maps and pattern recognition—the XOR problem. Zbl 1002.68152 Rogers, Alan; Keating, John G.; Shorten, Robert; Heffernan, Daniel M. 2 2002 On the \(45^\circ\)-region and the uniform asymptotic stability of classes of second order parameter-varying and switched systems. Zbl 1013.93051 Wulff, Kai; Shorten, Robert; Curran, Paul 2 2002 Spectral conditions for positive realness of single-input–single-output systems. Zbl 1365.93381 Shorten, Robert; King, Christopher 2 2004 Growth conditions for the global stability of high-speed communication networks with a single congested link. Zbl 1367.94040 King, C.; Shorten, R. N.; Wirth, F. R.; Akar, M. 2 2008 Optimal real-time distributed V2G and G2V management of electric vehicles. Zbl 1291.93225 Stüdli, Sonja; Crisostomi, Emanuele; Middleton, Richard; Shorten, Robert 2 2014 On interconnected systems, passivity and some generalisations. Zbl 1311.93006 Ordóñez-Hurtado, Rodrigo H.; Griggs, Wynita M.; Shorten, Robert N. 2 2013 A Kalman-Yakubovich-Popov-type lemma for systems with certain state-dependent constraints. Zbl 1229.93102 King, Christopher K.; Griggs, Wynita M.; Shorten, Robert N. 2 2011 Essentially negative news about positive systems. Zbl 1238.93049 Zappavigna, A.; Colaneri, P.; Kirkland, S.; Shorten, R. 2 2012 \(r\)-extreme signalling for congestion control. Zbl 1360.93009 Mareček, Jakub; Shorten, Robert; Yu, Jia Yuan 2 2016 Predictability and fairness in load aggregation and operations of virtual power plants. Zbl 1505.93009 Mareček, Jakub; Roubalik, Michal; Ghosh, Ramen; Shorten, Robert N.; Wirth, Fabian R. 2 2023 Signalling and obfuscation for congestion control. Zbl 1334.93016 Mareček, Jakub; Shorten, Robert; Yu, Jia Yuan 2 2015 A numerical technique for stability analysis of linear switched systems. Zbl 1135.93371 Yfoulis, Christos A.; Shorten, Robert 2 2004 SPR based design conditions for quadratic stability of multi-mode switched linear systems. Zbl 1451.93275 Kouhi, Yashar; King, Christopher; Shorten, Robert 2 2020 Clustering behaviour in Markov chains with eigenvalues close to one. Zbl 1396.15029 Breen, Jane; Crisostomi, Emanuele; Faizrahnemoon, Mahsa; Kirkland, Steve; Shorten, Robert 1 2018 An assessment on the use of stationary vehicles to support cooperative positioning systems. Zbl 1396.93010 Ordóñez-Hurtado, Rodrigo H.; Crisostomi, Emanuele; Shorten, Robert N. 1 2018 Recovering Markov models from closed-loop data. Zbl 1415.93243 Epperlein, Jonathan P.; Zhuk, Sergiy; Shorten, Robert 1 2019 A note on spectral conditions for positive realness of single-input–single-output systems with strictly proper transfer functions. Zbl 1366.93384 Zeheb, Ezra; Shorten, Robert 1 2006 Extensions of “Padé discretization for linear systems with polyhedral Lyapunov functions” for generalized Jordan structures. Zbl 1369.93187 Sajja, Surya Shravan Kumar; Rossi, Francesco; Colaneri, Patrizio; Shorten, Robert 1 2013 An extension of the KYP-lemma for the design of state-dependent switching systems with uncertainty. Zbl 1279.93066 King, Christopher; Shorten, Robert 1 2013 Boundary output feedback stabilization of state delayed reaction-diffusion PDEs. Zbl 1520.93402 Lhachemi, Hugo; Shorten, Robert 3 2023 Predictability and fairness in load aggregation and operations of virtual power plants. Zbl 1505.93009 Mareček, Jakub; Roubalik, Michal; Ghosh, Ramen; Shorten, Robert N.; Wirth, Fabian R. 2 2023 Robustness of constant-delay predictor feedback for in-domain stabilization of reaction-diffusion PDEs with time- and spatially-varying input delays. Zbl 1461.93403 Lhachemi, Hugo; Prieur, Christophe; Shorten, Robert 11 2021 Integral action for setpoint regulation control of a reaction-diffusion equation in the presence of a state delay. Zbl 1478.93204 Lhachemi, Hugo; Malik, Ammar; Shorten, Robert 3 2021 Boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and state-delay. Zbl 1440.93202 Lhachemi, Hugo; Shorten, Robert 19 2020 Exponential input-to-state stabilization of a class of diagonal boundary control systems with delay boundary control. Zbl 1436.93123 Lhachemi, Hugo; Shorten, Robert; Prieur, Christophe 8 2020 Input-to-state stability of a clamped-free damped string in the presence of distributed and boundary disturbances. Zbl 07256248 Lhachemi, Hugo; Saussié, David; Zhu, Guchuan; Shorten, Robert 5 2020 SPR based design conditions for quadratic stability of multi-mode switched linear systems. Zbl 1451.93275 Kouhi, Yashar; King, Christopher; Shorten, Robert 2 2020 An LMI condition for the robustness of constant-delay linear predictor feedback with respect to uncertain time-varying input delays. Zbl 1429.93279 Lhachemi, Hugo; Prieur, Christophe; Shorten, Robert 19 2019 ISS property with respect to boundary disturbances for a class of Riesz-spectral boundary control systems. Zbl 1429.93311 Lhachemi, Hugo; Shorten, Robert 12 2019 Some stability tests for switched descriptor systems. Zbl 1429.93309 Sajja, Shravan; Corless, Martin; Zeheb, Ezra; Shorten, Robert 7 2019 On synchronization in continuous-time networks of nonlinear nodes with state-dependent and degenerate noise diffusion. Zbl 1423.93029 Russo, Giovanni; Wirth, Fabian; Shorten, Robert 6 2019 On \(\mathcal{L}_\infty\) string stability of nonlinear bidirectional asymmetric heterogeneous platoon systems. Zbl 1429.93249 Monteil, Julien; Russo, Giovanni; Shorten, Robert 5 2019 On the SPRification of linear descriptor systems via output feedback. Zbl 1482.93240 Corless, Martin; Zeheb, Ezra; Shorten, Robert 4 2019 Recovering Markov models from closed-loop data. Zbl 1415.93243 Epperlein, Jonathan P.; Zhuk, Sergiy; Shorten, Robert 1 2019 Nonhomogeneous place-dependent Markov chains, unsynchronised AIMD, and optimisation. Zbl 1479.90162 Wirth, Fabian R.; Stüdli, Sonja; Yu, Jia Yuan; Corless, Martin; Shorten, Robert 1 2019 On analysis and design of discrete-time constrained switched systems. Zbl 1390.93507 Souza, Matheus; Fioravanti, André R.; Shorten, Robert N. 2 2018 Clustering behaviour in Markov chains with eigenvalues close to one. Zbl 1396.15029 Breen, Jane; Crisostomi, Emanuele; Faizrahnemoon, Mahsa; Kirkland, Steve; Shorten, Robert 1 2018 An assessment on the use of stationary vehicles to support cooperative positioning systems. Zbl 1396.93010 Ordóñez-Hurtado, Rodrigo H.; Crisostomi, Emanuele; Shorten, Robert N. 1 2018 Switching controller design with dwell-times and sampling. Zbl 1390.93417 Souza, Matheus; Fioravanti, André R.; Corless, Martin; Shorten, Robert N. 11 2017 A note on recursive Schur complements, block Hurwitz stability of Metzler matrices, and related results. Zbl 1373.93277 Souza, Matheus; Wirth, Fabian R.; Shorten, Robert N. 3 2017 On the AIMD algorithm under saturation constraints. Zbl 1390.90126 Stüdli, S.; Corless, M.; Middleton, R. H.; Shorten, R. 2 2017 On source-term parameter estimation for linear advection-diffusion equations with uncertain coefficients. Zbl 1342.35135 Zhuk, Sergiy; Tchrakian, Tigran T.; Moore, Stephen; Ordóñez-Hurtado, Rodrigo; Shorten, Robert 4 2016 AIMD dynamics and distributed resource allocation. Zbl 1419.93002 Corless, M.; King, C.; Shorten, R.; Wirth, F. 3 2016 \(r\)-extreme signalling for congestion control. Zbl 1360.93009 Mareček, Jakub; Shorten, Robert; Yu, Jia Yuan 2 2016 Exact stability test and stabilization for fractional systems. Zbl 1322.93091 Kaminski, J. Y.; Shorten, R.; Zeheb, E. 7 2015 Data assimilation for linear parabolic equations: minimax projection method. Zbl 1320.65146 Zhuk, Sergiy; Frank, Jason; Herlin, Isabelle; Shorten, Robert 5 2015 A big-data model for multi-modal public transportation with application to macroscopic control and optimisation. Zbl 1334.93030 Faizrahnemoon, Mahsa; Schlote, Arieh; Maggi, Lorenzo; Crisostomi, Emanuele; Shorten, Robert 5 2015 Discretisation of sparse linear systems: an optimisation approach. Zbl 1330.93114 Souza, M.; Geromel, J. C.; Colaneri, P.; Shorten, R. N. 2 2015 Signalling and obfuscation for congestion control. Zbl 1334.93016 Mareček, Jakub; Shorten, Robert; Yu, Jia Yuan 2 2015 Alleviating a form of electric vehicle range anxiety through on-demand vehicle access. Zbl 1317.90081 King, Christopher; Griggs, Wynita; Wirth, Fabian; Quinn, Karl; Shorten, Robert 1 2015 Comments on Lyapunov \(\alpha\)-stability with some extension. Zbl 1330.93175 Berman, Abraham; Goldberg, Felix; Shorten, Robert 3 2014 On the quadratic stability of switched linear systems associated with symmetric transfer function matrices. Zbl 1300.93132 Kouhi, Yashar; Bajcinca, Naim; Raisch, Jörg; Shorten, Robert 3 2014 Optimal real-time distributed V2G and G2V management of electric vehicles. Zbl 1291.93225 Stüdli, Sonja; Crisostomi, Emanuele; Middleton, Richard; Shorten, Robert 2 2014 On dimensionality reduction and the stability of a class of switched descriptor systems. Zbl 1360.93145 Sajja, S.; Corless, M.; Zeheb, E.; Shorten, R. 4 2013 On interconnected systems, passivity and some generalisations. Zbl 1311.93006 Ordóñez-Hurtado, Rodrigo H.; Griggs, Wynita M.; Shorten, Robert N. 2 2013 Extensions of “Padé discretization for linear systems with polyhedral Lyapunov functions” for generalized Jordan structures. Zbl 1369.93187 Sajja, Surya Shravan Kumar; Rossi, Francesco; Colaneri, Patrizio; Shorten, Robert 1 2013 An extension of the KYP-lemma for the design of state-dependent switching systems with uncertainty. Zbl 1279.93066 King, Christopher; Shorten, Robert 1 2013 A nonconservative LMI condition for stability of switched systems with guaranteed dwell time. Zbl 1369.93524 Chesi, Graziano; Colaneri, Patrizio; Geromel, Jose C.; Middleton, Richard; Shorten, Robert 48 2012 Traffic modelling framework for electric vehicles. Zbl 1282.93041 Schlote, Arieh; Crisostomi, Emanuele; Kirkland, Stephen; Shorten, Robert 6 2012 A characterisation of common diagonal stability over cones. Zbl 1260.15049 Berman, Abraham; King, Christopher; Shorten, Robert 5 2012 On interconnections of “mixed” systems using classical stability theory. Zbl 1250.93093 Griggs, Wynita M.; Sajja, S. Shravan K.; Anderson, Brian D. O.; Shorten, Robert N. 4 2012 A flexible distributed framework for realising electric and plug-in hybrid vehicle charging policies. Zbl 1420.90015 Stüdli, S.; Crisostomi, E.; Middleton, R.; Shorten, R. 3 2012 Essentially negative news about positive systems. Zbl 1238.93049 Zappavigna, A.; Colaneri, P.; Kirkland, S.; Shorten, R. 2 2012 Deterministic and stochastic convergence properties of AIMD algorithms with nonlinear back-off functions. Zbl 1246.93041 Corless, Martin; Shorten, Robert 1 2012 An ergodic AIMD algorithm with application to high-speed networks. Zbl 1256.93041 Corless, Martin; Shorten, Robert 1 2012 A Google-like model of road network dynamics and its application to regulation and control. Zbl 1222.93212 Crisostomi, E.; Kirkland, S.; Shorten, R. 21 2011 On Padé approximations, quadratic stability and discretization of switched linear systems. Zbl 1226.93079 Shorten, R.; Corless, M.; Sajja, S.; Solmaz, S. 9 2011 On a class of generalized eigenvalue problems and equivalent eigenvalue problems that arise in systems and control theory. Zbl 1219.93044 Corless, Martin; Shorten, Robert 5 2011 Padé discretization for linear systems with polyhedral Lyapunov functions. Zbl 1368.93181 Rossi, Francesco; Colaneri, Patrizio; Shorten, Robert 4 2011 A test for determining systems with “mixed” small gain and passivity properties. Zbl 1222.93093 Griggs, Wynita M.; Anderson, Brian D. O.; Shorten, Robert N. 4 2011 Results in cooperative control and implicit consensus. Zbl 1222.93011 Knorn, F.; Corless, M.; Shorten, R. 3 2011 A Kalman-Yakubovich-Popov-type lemma for systems with certain state-dependent constraints. Zbl 1229.93102 King, Christopher K.; Griggs, Wynita M.; Shorten, Robert N. 2 2011 Hurwitz stability of Metzler matrices. Zbl 1368.93603 Narendra, Kumpati S.; Shorten, Robert 19 2010 On the characterization of strict positive realness for general matrix transfer functions. Zbl 1368.93463 Corless, Martin; Shorten, Robert 5 2010 On the design and synthesis of limit cycles using switching linear systems. Zbl 1197.93094 Boniolo, I.; Colaneri, P.; Bolzern, P.; Corless, M.; Shorten, R. 4 2010 Strict positive realness of descriptor systems in state space. Zbl 1213.93076 Zeheb, Ezra; Shorten, Robert; Sajja, S. Shravan K. 3 2010 Quadratic Lyapunov functions for systems with state-dependent switching. Zbl 1191.93126 Griggs, Wynita M.; King, Christopher K.; Shorten, Robert N.; Mason, Oliver; Wulff, Kai 3 2010 On linear co-positive Lyapunov functions for sets of linear positive systems. Zbl 1185.93122 Knorn, Florian; Mason, Oliver; Shorten, Robert 71 2009 An alternative proof of the Barker, Berman, Plemmons (BBP) result on diagonal stability and extensions. Zbl 1149.93025 Shorten, Robert; Mason, Oliver; King, Christopher 17 2009 Quadratic stability and singular SISO switching systems. Zbl 1367.93444 Shorten, Robert; Corless, Martin; Wulff, Kai; Klinge, Steffi; Middleton, Richard 14 2009 On a theorem of Redheffer concerning diagonal stability. Zbl 1207.34068 Shorten, Robert; Narendra, Kumpati S. 8 2009 Stability and D-stability for switched positive systems. Zbl 1182.93097 Mason, Oliver; Bokharaie, Vahid S.; Shorten, Robert 7 2009 A framework for decentralised feedback connectivity control with application to sensor networks. Zbl 1175.93004 Knorn, F.; Stanojevic, R.; Corless, M.; Shorten, R. 6 2009 A control design method for a class of switched linear systems. Zbl 1180.93045 Wulff, Kai; Wirth, Fabian; Shorten, Robert 5 2009 Applications of linear co-positive Lyapunov functions for switched linear positive systems. Zbl 1182.93035 Knorn, Florian; Mason, Oliver; Shorten, Robert 3 2009 A note on spectral conditions for positive realness of transfer function matrices. Zbl 1367.93570 Shorten, Robert N.; Curran, Paul; Wulff, Kai; Zeheb, Ezra 10 2008 A novel matrix approach for controlling the invariant densities of chaotic maps. Zbl 1142.37030 Rogers, Alan; Shorten, Robert; Heffernan, Daniel M. 10 2008 Synthesis of piecewise-linear chaotic maps: invariant densities, autocorrelations, and switching. Zbl 1165.37319 Rogers, Alan; Shorten, Robert; Heffernan, Daniel M.; Naughton, David 8 2008 A design methodology for switched discrete time linear systems with applications to automotive roll dynamics control. Zbl 1153.93496 Solmaz, Selim; Shorten, Robert; Wulff, Kai; Ó Cairbre, Fiacre 7 2008 Distributed probabilistic synchronization algorithms for communication networks. Zbl 1367.90018 Akar, Mehmet; Shorten, Robert 3 2008 Growth conditions for the global stability of high-speed communication networks with a single congested link. Zbl 1367.94040 King, C.; Shorten, R. N.; Wirth, F. R.; Akar, M. 2 2008 Stability criteria for switched and hybrid systems. Zbl 1127.93005 Shorten, Robert; Wirth, Fabian; Mason, Oliver; Wulff, Kai; King, Christopher 293 2007 On linear copositive Lyapunov functions and the stability of switched positive linear systems. Zbl 1366.34077 Mason, O.; Shorten, R. 126 2007 On the stability of switched positive linear systems. Zbl 1366.93436 Gurvits, L.; Shorten, R.; Mason, O. 107 2007 Modelling TCP congestion control dynamics in drop-tail environments. Zbl 1137.93307 Shorten, Robert; King, Chris; Wirth, Fabian; Leith, Douglas 9 2007 A methodology for the design of robust rollover prevention controllers for automotive vehicles with active steering. Zbl 1130.93359 Solmaz, S.; Corless, M.; Shorten, R. 6 2007 On the Kalman-Yacubovich-Popov Lemma and common Lyapunov solutions for matrices with regular inertia. Zbl 1123.15008 Mason, Oliver; Shorten, Robert; Solmaz, Selim 4 2007 Nonlinear AIMD congestion control and contraction mappings. Zbl 1176.90091 Rothblum, Uriel G.; Shorten, Robert 3 2007 How expensive is link utilization? Zbl 1181.68082 Stanojević, Rade; Shorten, Robert 1 2007 On the existence of periodic motion and the maximum sector bounds for absolute stability of nonlinear nonstationary systems. Zbl 1141.93055 Wulff, K.; Shorten, R. 1 2007 On the simultaneous diagonal stability of a pair of positive linear systems. Zbl 1094.93021 Mason, Oliver; Shorten, Robert 28 2006 Singularity conditions for the non-existence of a common quadratic Lyapunov function for pairs of third order linear time invariant dynamic systems. Zbl 1102.93035 King, Christopher; Shorten, Robert 9 2006 Stochastic equilibria of aimd communication networks. Zbl 1120.15020 Wirth, F.; Stanojević, R.; Shorten, R.; Leith, D. 7 2006 On the dynamic instability of a class of switching system. Zbl 1330.93178 Shorten, R. N.; Ó Cairbre, F.; Curran, P. 3 2006 A note on spectral conditions for positive realness of single-input–single-output systems with strictly proper transfer functions. Zbl 1366.93384 Zeheb, Ezra; Shorten, Robert 1 2006 On the second eigenvalue of matrices associated with TCP. Zbl 1101.15022 Berman, Abraham; Laffey, Thomas; Leizarowitz, Arie; Shorten, Robert 1 2006 Analysis and design of AIMD congestion control algorithms in communication networks. Zbl 1061.93531 Shorten, R. N.; Leith, D. J.; Foy, J.; Kilduff, R. 41 2005 The geometry of convex cones associated with the Lyapunov inequality and the common Lyapunov function problem. Zbl 1172.37307 Mason, Oliver; Shorten, Robert 8 2005 On convergence rates of simultaneously triangularizable switched linear systems. Zbl 1365.93455 Sun, Zhendong; Shorten, Robert 6 2005 Convex cones, Lyapunov functions, and the stability of switched linear systems. Zbl 1112.93332 Shorten, Robert; Mason, Oliver; Wulff, Kai 1 2005 A unifying framework for the SISO circle criterion and other quadratic stability criteria. Zbl 1050.93059 Shorten, Robert N.; Mason, Oliver; O’Cairbre, Fiacre; Curran, Paul 13 2004 A numerical technique for the stability analysis of linear switched systems. Zbl 1069.93034 Yfoulis, C. A.; Shorten, R. 12 2004 Synthesizing chaotic maps with prescribed invariant densities. Zbl 1209.37036 Rogers, Alan; Shorten, Robert; Heffernan, Daniel M. 11 2004 On common quadratic Lyapunov functions for stable discrete-time LTI systems. Zbl 1067.93057 Mason, Oliver; Shorten, Robert 8 2004 Positive matrices associated with synchronised communication networks. Zbl 1062.93024 Berman, Abraham; Shorten, Robert; Leith, Douglas 6 2004 On time-domain multiplier criteria for single-input single-output systems. Zbl 1068.93058 Shorten, Robert N.; Curran, Paul F.; Wulff, Kai 3 2004 Spectral conditions for positive realness of single-input–single-output systems. Zbl 1365.93381 Shorten, Robert; King, Christopher 2 2004 A numerical technique for stability analysis of linear switched systems. Zbl 1135.93371 Yfoulis, Christos A.; Shorten, Robert 2 2004 A result on common quadratic Lyapunov functions. Zbl 1364.93580 Shorten, Robert; Narendra, Kumpati S.; Mason, Oliver 41 2003 ...and 8 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,351 Authors 66 Shorten, Robert N. 26 Xiang, Zhengrong 17 Aleksandrov, Aleksandr Yur’evich 17 Mason, Oliver 17 Zhang, Junfeng 15 Liu, Xinzhi 15 Sun, Yuangong 15 Xiang, Weiming 14 Li, Shuo 14 Platonov, Alekseĭ Viktorovich 14 Zhao, Xudong 12 Corless, Martin J. 12 Lhachemi, Hugo 12 Wirth, Fabian Roger 11 Jungers, Raphaël M. 11 King, Christopher Kevin 11 Prieur, Christophe 10 Kirkland, Stephen J. 10 Zhao, Jun 9 Colaneri, Patrizio 9 Xiao, Jian 8 Daafouz, Jamal 8 Dai, Xiongping 8 Griggs, Wynita M. 8 Lam, James 8 Sigalotti, Mario 8 Stechlinski, Peter G. 7 Chitour, Yacine 7 Crisostomi, Emanuele 7 Della Rossa, Matteo 7 Ding, Xiuyong 7 Lin, Xiangze 7 Pastravanu, Octavian C. 7 Shi, Peng 7 Wang, Peng 7 Zhang, Lixian 6 Berman, Abraham S. 6 Briat, Corentin 6 Deaecto, Grace S. 6 Liu, Xingwen 6 Matcovschi, Mihaela-Hanako 6 Meng, Fanwei 6 Niu, Ben 6 Ordóñez-Hurtado, Rodrigo Hernán 6 Souza, Matheus 6 Yuan, Shuai 5 Baldi, Simone 5 Bolzern, Paolo 5 de la Sen, Manuel 5 Fioravanti, André Ricardo 5 Geromel, Jose Claudio 5 Han, Zhengzhi 5 Huang, Yu 5 Karimi, Hamid Reza 5 Kosov, Aleksandr Arkad’evich 5 Lee, Tong Heng 5 Liberzon, Daniel 5 Liu, Xiu 5 Margaliot, Michael 5 Mazanti, Guilherme 5 Protasov, Vladimir Yu. 5 Qi, Jie 5 Shen, Jun 5 Xiang, Mei 5 Xiao, Mingqing 5 Zeheb, Ezra 5 Zhai, Guisheng 5 Zhang, Hongbin 5 Zou, Yun 4 Blanchini, Franco 4 Breen, Jane 4 Chen, Wuhua 4 Chen, Yangzhou 4 Cheng, Daizhan 4 Clason, Christian 4 Gao, Yan 4 Guglielmi, Nicola 4 Hespanha, João Pedro 4 Ibeas, Asier 4 Jungers, Marc 4 Kamenetskij, V. A. 4 Kunisch, Karl 4 Laffey, Thomas J. 4 Li, Xueling 4 Li, Yang 4 Lian, Jie 4 Lin, Hai 4 Liu, Jiao 4 Mareček, Jakub 4 Middleton, Richard Hume 4 Nie, Xiaokai 4 Rhee, Noah H. 4 She, Zhikun 4 Solmaz, Selim 4 Tanwani, Aneel 4 Tong, Yanhui 4 Valcher, Maria Elena 4 Wulff, Kai 4 Xiang, Cheng 4 Yu, Qiang ...and 1,251 more Authors all top 5 Cited in 143 Serials 129 Automatica 74 Nonlinear Analysis. Hybrid Systems 70 International Journal of Control 57 Journal of the Franklin Institute 51 Systems & Control Letters 46 International Journal of Robust and Nonlinear Control 44 Linear Algebra and its Applications 30 Applied Mathematics and Computation 29 International Journal of Systems Science. 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