Falchetto, Vinícius B.; Souza, Matheus; Fioravanti, André R.; Shorten, Robert N. \(\mathcal{H}_2\) and \(\mathcal{H}_\infty\) analysis and state feedback control design for discrete-time constrained switched linear systems. (English) Zbl 1478.93144 Int. J. Control 94, No. 10, 2834-2845 (2021). MSC: 93B36 93B52 93C55 93C30 93C05 90C25 PDFBibTeX XMLCite \textit{V. B. Falchetto} et al., Int. J. Control 94, No. 10, 2834--2845 (2021; Zbl 1478.93144) Full Text: DOI
Kouhi, Yashar; King, Christopher; Shorten, Robert SPR based design conditions for quadratic stability of multi-mode switched linear systems. (English) Zbl 1451.93275 Automatica 122, Article ID 109254, 10 p. (2020). MSC: 93D05 93C30 93C28 93C05 PDFBibTeX XMLCite \textit{Y. Kouhi} et al., Automatica 122, Article ID 109254, 10 p. (2020; Zbl 1451.93275) Full Text: DOI
Sajja, Shravan; Corless, Martin; Zeheb, Ezra; Shorten, Robert Some stability tests for switched descriptor systems. (English) Zbl 1429.93309 Automatica 106, 257-265 (2019). MSC: 93D23 93C30 93C05 PDFBibTeX XMLCite \textit{S. Sajja} et al., Automatica 106, 257--265 (2019; Zbl 1429.93309) Full Text: DOI
Souza, Matheus; Fioravanti, André R.; Shorten, Robert N. On analysis and design of discrete-time constrained switched systems. (English) Zbl 1390.93507 Int. J. Control 91, No. 2, 437-452 (2018). MSC: 93C55 93C30 93C05 93B51 93D99 90C25 PDFBibTeX XMLCite \textit{M. Souza} et al., Int. J. Control 91, No. 2, 437--452 (2018; Zbl 1390.93507) Full Text: DOI
Ordóñez-Hurtado, Rodrigo H.; Griggs, Wynita M.; Shorten, Robert N. On interconnected systems, passivity and some generalisations. (English) Zbl 1311.93006 Int. J. Control 86, No. 12, 2274-2289 (2013). MSC: 93A15 93D05 93C15 PDFBibTeX XMLCite \textit{R. H. Ordóñez-Hurtado} et al., Int. J. Control 86, No. 12, 2274--2289 (2013; Zbl 1311.93006) Full Text: DOI
Knorn, F.; Corless, M.; Shorten, R. Results in cooperative control and implicit consensus. (English) Zbl 1222.93011 Int. J. Control 84, No. 3, 476-495 (2011). MSC: 93A14 PDFBibTeX XMLCite \textit{F. Knorn} et al., Int. J. Control 84, No. 3, 476--495 (2011; Zbl 1222.93011) Full Text: DOI
Boniolo, I.; Colaneri, P.; Bolzern, P.; Corless, M.; Shorten, R. On the design and synthesis of limit cycles using switching linear systems. (English) Zbl 1197.93094 Int. J. Control 83, No. 5, 915-927 (2010). MSC: 93C30 93B50 93B51 93B55 PDFBibTeX XMLCite \textit{I. Boniolo} et al., Int. J. Control 83, No. 5, 915--927 (2010; Zbl 1197.93094) Full Text: DOI
Knorn, Florian; Mason, Oliver; Shorten, Robert On linear co-positive Lyapunov functions for sets of linear positive systems. (English) Zbl 1185.93122 Automatica 45, No. 8, 1943-1947 (2009). MSC: 93D30 93C05 15B48 PDFBibTeX XMLCite \textit{F. Knorn} et al., Automatica 45, No. 8, 1943--1947 (2009; Zbl 1185.93122) Full Text: DOI Link
Wulff, Kai; Wirth, Fabian; Shorten, Robert A control design method for a class of switched linear systems. (English) Zbl 1180.93045 Automatica 45, No. 11, 2592-2596 (2009). MSC: 93B60 93B51 93C15 93C05 93D99 PDFBibTeX XMLCite \textit{K. Wulff} et al., Automatica 45, No. 11, 2592--2596 (2009; Zbl 1180.93045) Full Text: DOI
Knorn, F.; Stanojevic, R.; Corless, M.; Shorten, R. A framework for decentralised feedback connectivity control with application to sensor networks. (English) Zbl 1175.93004 Int. J. Control 82, No. 11, 2095-2114 (2009). MSC: 93A14 93A15 93B50 93B60 PDFBibTeX XMLCite \textit{F. Knorn} et al., Int. J. Control 82, No. 11, 2095--2114 (2009; Zbl 1175.93004) Full Text: DOI Link
Zeheb, E.; Mason, O.; Solmaz, S.; Shorten, R. Some results on quadratic stability of switched systems with interval uncertainty. (English) Zbl 1124.93043 Int. J. Control 80, No. 6, 825-831 (2007). MSC: 93D05 93D30 93C15 93C05 93B25 PDFBibTeX XMLCite \textit{E. Zeheb} et al., Int. J. Control 80, No. 6, 825--831 (2007; Zbl 1124.93043) Full Text: DOI Link
Shorten, R. N.; Ó Cairbre, F.; Curran, P. On the dynamic instability of a class of switching system. (English) Zbl 1330.93178 Int. J. Control 79, No. 6, 630-635 (2006). MSC: 93D05 93D09 34A36 34D20 PDFBibTeX XMLCite \textit{R. N. Shorten} et al., Int. J. Control 79, No. 6, 630--635 (2006; Zbl 1330.93178) Full Text: DOI Link
King, Christopher; Shorten, Robert Singularity conditions for the non-existence of a common quadratic Lyapunov function for pairs of third order linear time invariant dynamic systems. (English) Zbl 1102.93035 Linear Algebra Appl. 413, No. 1, 24-35 (2006). MSC: 93D30 93C15 PDFBibTeX XMLCite \textit{C. King} and \textit{R. Shorten}, Linear Algebra Appl. 413, No. 1, 24--35 (2006; Zbl 1102.93035) Full Text: DOI
Mason, Oliver; Shorten, Robert On the simultaneous diagonal stability of a pair of positive linear systems. (English) Zbl 1094.93021 Linear Algebra Appl. 413, No. 1, 13-23 (2006). Reviewer: Stephan Trenn (Ilmenau) MSC: 93D30 93D05 34D20 PDFBibTeX XMLCite \textit{O. Mason} and \textit{R. Shorten}, Linear Algebra Appl. 413, No. 1, 13--23 (2006; Zbl 1094.93021) Full Text: DOI Link
Shorten, Robert N.; Curran, Paul F.; Wulff, Kai On time-domain multiplier criteria for single-input single-output systems. (English) Zbl 1068.93058 Int. J. Control 77, No. 11, 985-991 (2004). MSC: 93D20 PDFBibTeX XMLCite \textit{R. N. Shorten} et al., Int. J. Control 77, No. 11, 985--991 (2004; Zbl 1068.93058) Full Text: DOI
Wulff, Kai; Shorten, Robert; Curran, Paul On the \(45^\circ\)-region and the uniform asymptotic stability of classes of second order parameter-varying and switched systems. (English) Zbl 1013.93051 Int. J. Control 75, No. 11, 812-823 (2002). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 93D30 93D20 93B60 15A22 PDFBibTeX XMLCite \textit{K. Wulff} et al., Int. J. Control 75, No. 11, 812--823 (2002; Zbl 1013.93051) Full Text: DOI