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Sepulchre, Rodolphe J.

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Author ID: sepulchre.rodolphe-j Recent zbMATH articles by "Sepulchre, Rodolphe J."
Published as: Sepulchre, Rodolphe; Sepulchre, R.; Sepulchre, Rodolphe J.; Sepulchre, R. J.
Homepage: https://sites.google.com/site/rsepulchre
External Links: Google Scholar · MGP · dblp
Documents Indexed: 90 Publications since 1992, including 2 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

74 Publications have been cited 1,935 times in 1,459 Documents Cited by Year
Optimization algorithms on matrix manifolds. Zbl 1147.65043
Absil, P.-A.; Mahony, R.; Sepulchre, R.
384
2008
Constructive nonlinear control. Zbl 1067.93500
Sepulchre, R.; Janković, M.; Kokotović, P.
222
1997
Synchronization in networks of identical linear systems. Zbl 1183.93054
Scardovi, Luca; Sepulchre, Rodolphe
160
2009
An internal model principle is necessary and sufficient for linear output synchronization. Zbl 1233.93011
Wieland, Peter; Sepulchre, Rodolphe; Allgöwer, Frank
149
2011
Manopt, a Matlab toolbox for optimization on manifolds. Zbl 1319.90003
Boumal, Nicolas; Mishra, Bamdev; Absil, P.-A.; Sepulchre, Rodolphe
96
2014
Stabilization of planar collective motion with limited communication. Zbl 1367.93145
Sepulchre, Rodolphe; Paley, Derek A.; Leonard, Naomi Ehrich
61
2008
Stabilization of planar collective motion: all-to-all communication. Zbl 1366.93527
Sepulchre, Rodolphe; Paley, Derek A.; Leonard, Naomi Ehrich
59
2007
Generalized power method for sparse principal component analysis. Zbl 1242.62048
Journée, Michel; Nesterov, Yurii; Richtárik, Peter; Sepulchre, Rodolphe
53
2010
Autonomous rigid body attitude synchronization. Zbl 1158.93372
Sarlette, Alain; Sepulchre, Rodolphe; Leonard, Naomi Ehrich
52
2009
Constructive Lyapunov stabilization of nonlinear cascade systems. Zbl 0869.93039
Jankovic, Mrdjan; Sepulchre, Rodolphe; Kokotovic, Petar V.
51
1996
Riemannian geometry of Grassmann manifolds with a view on algorithmic computation. Zbl 1052.65048
Absil, P.-A.; Mahony, R.; Sepulchre, R.
48
2004
Consensus optimization on manifolds. Zbl 1182.93010
Sarlette, Alain; Sepulchre, Rodolphe
40
2009
Analysis of interconnected oscillators by dissipativity theory. Zbl 1366.34054
Stan, Guy-Bart; Sepulchre, Rodolphe
38
2007
A differential Lyapunov framework for contraction analysis. Zbl 1360.93597
Forni, Fulvio; Sepulchre, Rodolphe
37
2014
Low-rank optimization on the cone of positive semidefinite matrices. Zbl 1215.65108
Journée, M.; Bach, F.; Absil, P.-A.; Sepulchre, R.
30
2010
Integrator forwarding: A new recursive nonlinear robust design. Zbl 0881.93066
Sepulchre, Rodolphe; Jankovic, Mrdjan; Kokotovic, Petar V.
28
1997
Fixed-rank matrix factorizations and Riemannian low-rank optimization. Zbl 1306.65107
Mishra, Bamdev; Meyer, Gilles; Bonnabel, Silvère; Sepulchre, Rodolphe
22
2014
Low-rank optimization with trace norm penalty. Zbl 1286.65078
Mishra, B.; Meyer, G.; Bach, F.; Sepulchre, R.
21
2013
Global adaptive stabilization of cascade nonlinear systems. Zbl 0876.93082
Jankovic, Mrdjan; Sepulchre, Rodolphe; Kokotovic, Petar V.
20
1997
Coordinated motion design on Lie groups. Zbl 1368.93116
Sarlette, Alain; Bonnabel, Silvère; Sepulchre, Rodolphe
20
2010
Stability margins of nonlinear receding-horizon control via inverse optimality. Zbl 0902.93061
Magni, L.; Sepulchre, R.
19
1997
Synchronization and balancing on the \(N\)-torus. Zbl 1111.68007
Scardovi, L.; Sarlette, A.; Sepulchre, R.
19
2007
A Grassmann–Rayleigh quotient iteration for computing invariant subspaces. Zbl 0995.65037
Absil, P.-A.; Mahony, R.; Sepulchre, R.; Van Dooren, P.
17
2002
Regression on fixed-rank positive semidefinite matrices: a Riemannian approach. Zbl 1280.68185
Meyer, Gilles; Bonnabel, Silvère; Sepulchre, Rodolphe
16
2011
Slow peaking and low-gain designs for global stabilization of nonlinear systems. Zbl 0978.93058
Sepulchre, Rodolphe
14
2000
Riemannian metric and geometric mean for positive semidefinite matrices of fixed rank. Zbl 1220.47025
Bonnabel, Silvère; Sepulchre, Rodolphe
14
2010
Stabilization of symmetric formations to motion around convex loops. Zbl 1130.93009
Paley, Derek A.; Leonard, Naomi Ehrich; Sepulchre, Rodolphe
13
2008
Differentially positive systems. Zbl 1359.93391
Forni, Fulvio; Sepulchre, Rodolphe
12
2016
Cubically convergent iterations for invariant subspace computation. Zbl 1075.65049
Absil, P.-A.; Sepulchre, R.; Van Dooren, P.; Mahony, R.
12
2004
CLF based designs with robustness to dynamic input uncertainties. Zbl 0917.93026
Jankovic, Mrdjan; Sepulchre, Rodolphe; Kokotovic, Petar V.
11
1999
Lyapunov functions for stable cascades and applications to global stabilization. Zbl 0958.93080
Mazenc, F.; Sepulchre, R.; Jankovic, M.
11
1999
Improving the performance of low-gain designs for bounded control of linear systems. Zbl 1011.93532
Grognard, F.; Sepulchre, R.; Bastin, G.
10
2002
Stabilizability does not imply homogeneous stabilizability for controllable homogeneous systems. Zbl 0879.93038
Sepulchre, Rodolphe; Aeyels, Dirk
10
1996
Clustering behaviors in networks of integrate-and-fire oscillators. Zbl 1309.34056
Mauroy, Alexandre; Sepulchre, Rodolphe
10
2008
Global stabilization of feedforward systems with exponentially unstable Jacobian linearization. Zbl 0917.93060
Grognard, F.; Sepulchre, R.; Bastin, G.
9
1999
Global state synchronization in networks of cyclic feedback systems. Zbl 1369.93006
Hamadeh, Abdullah; Stan, Guy-Bart; Sepulchre, Rodolphe; Gonçalves, Jorge
9
2012
Modeling the modulation of neuronal bursting: a singularity theory approach. Zbl 1301.92002
Franci, Alessio; Drion, Guillaume; Sepulchre, Rodolphe
8
2014
Homogeneous Lyapunov functions and necessary conditions for stabilization. Zbl 0881.93063
Sepulchre, R.; Aeyels, D.
8
1996
AR identification of latent-variable graphical models. Zbl 1359.93508
Zorzi, Mattia; Sepulchre, Rodolphe
8
2016
Stabilization and disturbance attenuation of nonlinear systems using dissipativity theory. Zbl 1293.93601
Astolfi, Alessandro; Ortega, Romeo; Sepulchre, Rodolphe
7
2002
Stability for dynamical systems with first integrals: A topological criterion. Zbl 0763.34041
Aeyels, D.; Sepulchre, R.
7
1992
Asymptotic stability for time-variant systems and observability: Uniform and nonuniform criteria. Zbl 0899.93030
Aeyels, D.; Sepulchre, R.; Peuteman, J.
7
1998
On the convergence of a time-variant linear differential equation arising in identification. Zbl 0832.93051
Aeyels, Dirk; Sepulchre, R.
6
1994
An organizing center in a planar model of neuronal excitability. Zbl 1254.92010
Franci, Alessio; Drion, Guillaume; Sepulchre, Rodolphe
6
2012
Synchronization on the circle. Zbl 1227.37031
Sarlette, Alain; Sepulchre, Rodolphe
6
2011
Nonlinear drillstring dynamics analysis. Zbl 1182.74084
Germay, Christophe; van de Wouw, Nathan; Nijmeijer, Henk; Sepulchre, Rodolphe
5
2009
Stabilization of three-dimensional collective motion. Zbl 1168.93007
Scardovi, Luca; Leonard, Naomi; Sepulchre, Rodolphe
5
2008
Global analysis of a continuum model for monotone pulse-coupled oscillators. Zbl 1369.34052
Mauroy, Alexandre; Sepulchre, Rodolphe J.
5
2013
Trading the stability of finite zeros for global stabilization of nonlinear cascade systems. Zbl 1364.93667
Sepulchre, Rodolphe; Arcak, Murat; Teel, Andrew R.
5
2002
Boundedness properties for time-varying nonlinear systems. Zbl 0986.34048
Peuteman, Joan; Aeyels, Dirk; Sepulchre, Rodolphe
5
2000
Stability of perturbed delay differential equations and stabilization of nonlinear cascade systems. Zbl 1002.34069
Michiels, W.; Sepulchre, R.; Roose, D.
4
2001
Rank-preserving geometric means of positive semi-definite matrices. Zbl 1267.15028
Bonnabel, Silvère; Collard, Anne; Sepulchre, Rodolphe
4
2013
Improving the state estimation for optimal control of stochastic processes subject to multiplicative noise. Zbl 1216.93109
Crevecoeur, F.; Sepulchre, R. J.; Thonnard, J.-L.; Lefèvre, P.
4
2011
A duality principle for homogeneous vectorfields with applications. Zbl 1094.93536
Moreau, L.; Aeyels, D.; Peuteman, J.; Sepulchre, R.
3
2002
Continuous dynamical systems that realize discrete optimization on the hypercube. Zbl 1157.90483
Absil, P.-A.; Sepulchre, R.
3
2004
Contraction of monotone phase-coupled oscillators. Zbl 1252.93005
Mauroy, A.; Sepulchre, R.
3
2012
Group coordination and cooperative control of steered particles in the plane. Zbl 1217.93131
Sepulchre, R.; Paley, D. A.; Leonard, N. E.
3
2006
Anisotropy preserving DTI processing. Zbl 1328.68267
Collard, Anne; Bonnabel, Silvère; Phillips, Christophe; Sepulchre, Rodolphe
3
2014
Ordering positive definite matrices. Zbl 1404.15026
Mostajeran, Cyrus; Sepulchre, Rodolphe
3
2018
Feedback mechanisms for global oscillations in Luré systems. Zbl 1129.93402
Sepulchre, Rodolphe; Stan, Guy-Bart
2
2005
The geometry of low-rank Kalman filters. Zbl 1269.93120
Bonnabel, Silvère; Sepulchre, Rodolphe
2
2013
Positivity, monotonicity, and consensus on Lie groups. Zbl 1393.37022
Mostajeran, Cyrus; Sepulchre, Rodolphe
2
2018
Conal distances between rational spectral densities. Zbl 07082416
Baggio, Giacomo; Ferrante, Augusto; Sepulchre, Rodolphe
2
2019
Differential dissipativity theory for dominance analysis. Zbl 07082461
Forni, Fulvio; Sepulchre, Rodolphe
2
2019
Robust stabilization of a nonlinear cement mill model. Zbl 1004.93504
Grognard, F.; Jadot, F.; Magni, L.; Bastin, G.; Sepulchre, R.
1
2001
Recursive designs and feedback passivation. Zbl 0894.93036
Sepulchre, Rodolphe; Janković, Mrdjan; Kokotović, Petar V.
1
1997
Affine-invariant orders on the set of positive-definite matrices. Zbl 1428.15035
Mostajeran, Cyrus; Sepulchre, Rodolphe
1
2017
A three-scale model of spatio-temporal bursting. Zbl 1360.37182
Franci, Alessio; Sepulchre, Rodolphe
1
2016
Control limitations from distributed sensing: theory and extremely large telescope application. Zbl 1364.93048
Sarlette, Alain; Sepulchre, Rodolphe J.
1
2014
Riemannian preconditioning. Zbl 1382.65180
Mishra, Bamdev; Sepulchre, Rodolphe
1
2016
Analysis of Lur’e dominant systems in the frequency domain. Zbl 1406.93129
Miranda-Villatoro, Félix A.; Forni, Fulvio; Sepulchre, Rodolphe J.
1
2018
Control theory in biology and medicine. Introduction to the special issue. Zbl 1411.00068
Thomas, Peter J. (ed.); Olufsen, Mette (ed.); Sepulchre, Rodolphe (ed.); Iglesias, Pablo A. (ed.); Ijspeert, Auke (ed.); Srinivasan, Manoj (ed.)
1
2019
Cellular switches orchestrate rhythmic circuits. Zbl 1411.92041
Drion, Guillaume; Franci, Alessio; Sepulchre, Rodolphe
1
2019
Affine-invariant midrange statistics. Zbl 1458.15059
Mostajeran, Cyrus; Grussler, Christian; Sepulchre, Rodolphe
1
2019
Conal distances between rational spectral densities. Zbl 07082416
Baggio, Giacomo; Ferrante, Augusto; Sepulchre, Rodolphe
2
2019
Differential dissipativity theory for dominance analysis. Zbl 07082461
Forni, Fulvio; Sepulchre, Rodolphe
2
2019
Control theory in biology and medicine. Introduction to the special issue. Zbl 1411.00068
Thomas, Peter J.; Olufsen, Mette; Sepulchre, Rodolphe; Iglesias, Pablo A.; Ijspeert, Auke; Srinivasan, Manoj
1
2019
Cellular switches orchestrate rhythmic circuits. Zbl 1411.92041
Drion, Guillaume; Franci, Alessio; Sepulchre, Rodolphe
1
2019
Affine-invariant midrange statistics. Zbl 1458.15059
Mostajeran, Cyrus; Grussler, Christian; Sepulchre, Rodolphe
1
2019
Ordering positive definite matrices. Zbl 1404.15026
Mostajeran, Cyrus; Sepulchre, Rodolphe
3
2018
Positivity, monotonicity, and consensus on Lie groups. Zbl 1393.37022
Mostajeran, Cyrus; Sepulchre, Rodolphe
2
2018
Analysis of Lur’e dominant systems in the frequency domain. Zbl 1406.93129
Miranda-Villatoro, Félix A.; Forni, Fulvio; Sepulchre, Rodolphe J.
1
2018
Affine-invariant orders on the set of positive-definite matrices. Zbl 1428.15035
Mostajeran, Cyrus; Sepulchre, Rodolphe
1
2017
Differentially positive systems. Zbl 1359.93391
Forni, Fulvio; Sepulchre, Rodolphe
12
2016
AR identification of latent-variable graphical models. Zbl 1359.93508
Zorzi, Mattia; Sepulchre, Rodolphe
8
2016
A three-scale model of spatio-temporal bursting. Zbl 1360.37182
Franci, Alessio; Sepulchre, Rodolphe
1
2016
Riemannian preconditioning. Zbl 1382.65180
Mishra, Bamdev; Sepulchre, Rodolphe
1
2016
Manopt, a Matlab toolbox for optimization on manifolds. Zbl 1319.90003
Boumal, Nicolas; Mishra, Bamdev; Absil, P.-A.; Sepulchre, Rodolphe
96
2014
A differential Lyapunov framework for contraction analysis. Zbl 1360.93597
Forni, Fulvio; Sepulchre, Rodolphe
37
2014
Fixed-rank matrix factorizations and Riemannian low-rank optimization. Zbl 1306.65107
Mishra, Bamdev; Meyer, Gilles; Bonnabel, Silvère; Sepulchre, Rodolphe
22
2014
Modeling the modulation of neuronal bursting: a singularity theory approach. Zbl 1301.92002
Franci, Alessio; Drion, Guillaume; Sepulchre, Rodolphe
8
2014
Anisotropy preserving DTI processing. Zbl 1328.68267
Collard, Anne; Bonnabel, Silvère; Phillips, Christophe; Sepulchre, Rodolphe
3
2014
Control limitations from distributed sensing: theory and extremely large telescope application. Zbl 1364.93048
Sarlette, Alain; Sepulchre, Rodolphe J.
1
2014
Low-rank optimization with trace norm penalty. Zbl 1286.65078
Mishra, B.; Meyer, G.; Bach, F.; Sepulchre, R.
21
2013
Global analysis of a continuum model for monotone pulse-coupled oscillators. Zbl 1369.34052
Mauroy, Alexandre; Sepulchre, Rodolphe J.
5
2013
Rank-preserving geometric means of positive semi-definite matrices. Zbl 1267.15028
Bonnabel, Silvère; Collard, Anne; Sepulchre, Rodolphe
4
2013
The geometry of low-rank Kalman filters. Zbl 1269.93120
Bonnabel, Silvère; Sepulchre, Rodolphe
2
2013
Global state synchronization in networks of cyclic feedback systems. Zbl 1369.93006
Hamadeh, Abdullah; Stan, Guy-Bart; Sepulchre, Rodolphe; Gonçalves, Jorge
9
2012
An organizing center in a planar model of neuronal excitability. Zbl 1254.92010
Franci, Alessio; Drion, Guillaume; Sepulchre, Rodolphe
6
2012
Contraction of monotone phase-coupled oscillators. Zbl 1252.93005
Mauroy, A.; Sepulchre, R.
3
2012
An internal model principle is necessary and sufficient for linear output synchronization. Zbl 1233.93011
Wieland, Peter; Sepulchre, Rodolphe; Allgöwer, Frank
149
2011
Regression on fixed-rank positive semidefinite matrices: a Riemannian approach. Zbl 1280.68185
Meyer, Gilles; Bonnabel, Silvère; Sepulchre, Rodolphe
16
2011
Synchronization on the circle. Zbl 1227.37031
Sarlette, Alain; Sepulchre, Rodolphe
6
2011
Improving the state estimation for optimal control of stochastic processes subject to multiplicative noise. Zbl 1216.93109
Crevecoeur, F.; Sepulchre, R. J.; Thonnard, J.-L.; Lefèvre, P.
4
2011
Generalized power method for sparse principal component analysis. Zbl 1242.62048
Journée, Michel; Nesterov, Yurii; Richtárik, Peter; Sepulchre, Rodolphe
53
2010
Low-rank optimization on the cone of positive semidefinite matrices. Zbl 1215.65108
Journée, M.; Bach, F.; Absil, P.-A.; Sepulchre, R.
30
2010
Coordinated motion design on Lie groups. Zbl 1368.93116
Sarlette, Alain; Bonnabel, Silvère; Sepulchre, Rodolphe
20
2010
Riemannian metric and geometric mean for positive semidefinite matrices of fixed rank. Zbl 1220.47025
Bonnabel, Silvère; Sepulchre, Rodolphe
14
2010
Synchronization in networks of identical linear systems. Zbl 1183.93054
Scardovi, Luca; Sepulchre, Rodolphe
160
2009
Autonomous rigid body attitude synchronization. Zbl 1158.93372
Sarlette, Alain; Sepulchre, Rodolphe; Leonard, Naomi Ehrich
52
2009
Consensus optimization on manifolds. Zbl 1182.93010
Sarlette, Alain; Sepulchre, Rodolphe
40
2009
Nonlinear drillstring dynamics analysis. Zbl 1182.74084
Germay, Christophe; van de Wouw, Nathan; Nijmeijer, Henk; Sepulchre, Rodolphe
5
2009
Optimization algorithms on matrix manifolds. Zbl 1147.65043
Absil, P.-A.; Mahony, R.; Sepulchre, R.
384
2008
Stabilization of planar collective motion with limited communication. Zbl 1367.93145
Sepulchre, Rodolphe; Paley, Derek A.; Leonard, Naomi Ehrich
61
2008
Stabilization of symmetric formations to motion around convex loops. Zbl 1130.93009
Paley, Derek A.; Leonard, Naomi Ehrich; Sepulchre, Rodolphe
13
2008
Clustering behaviors in networks of integrate-and-fire oscillators. Zbl 1309.34056
Mauroy, Alexandre; Sepulchre, Rodolphe
10
2008
Stabilization of three-dimensional collective motion. Zbl 1168.93007
Scardovi, Luca; Leonard, Naomi; Sepulchre, Rodolphe
5
2008
Stabilization of planar collective motion: all-to-all communication. Zbl 1366.93527
Sepulchre, Rodolphe; Paley, Derek A.; Leonard, Naomi Ehrich
59
2007
Analysis of interconnected oscillators by dissipativity theory. Zbl 1366.34054
Stan, Guy-Bart; Sepulchre, Rodolphe
38
2007
Synchronization and balancing on the \(N\)-torus. Zbl 1111.68007
Scardovi, L.; Sarlette, A.; Sepulchre, R.
19
2007
Group coordination and cooperative control of steered particles in the plane. Zbl 1217.93131
Sepulchre, R.; Paley, D. A.; Leonard, N. E.
3
2006
Feedback mechanisms for global oscillations in Luré systems. Zbl 1129.93402
Sepulchre, Rodolphe; Stan, Guy-Bart
2
2005
Riemannian geometry of Grassmann manifolds with a view on algorithmic computation. Zbl 1052.65048
Absil, P.-A.; Mahony, R.; Sepulchre, R.
48
2004
Cubically convergent iterations for invariant subspace computation. Zbl 1075.65049
Absil, P.-A.; Sepulchre, R.; Van Dooren, P.; Mahony, R.
12
2004
Continuous dynamical systems that realize discrete optimization on the hypercube. Zbl 1157.90483
Absil, P.-A.; Sepulchre, R.
3
2004
A Grassmann–Rayleigh quotient iteration for computing invariant subspaces. Zbl 0995.65037
Absil, P.-A.; Mahony, R.; Sepulchre, R.; Van Dooren, P.
17
2002
Improving the performance of low-gain designs for bounded control of linear systems. Zbl 1011.93532
Grognard, F.; Sepulchre, R.; Bastin, G.
10
2002
Stabilization and disturbance attenuation of nonlinear systems using dissipativity theory. Zbl 1293.93601
Astolfi, Alessandro; Ortega, Romeo; Sepulchre, Rodolphe
7
2002
Trading the stability of finite zeros for global stabilization of nonlinear cascade systems. Zbl 1364.93667
Sepulchre, Rodolphe; Arcak, Murat; Teel, Andrew R.
5
2002
A duality principle for homogeneous vectorfields with applications. Zbl 1094.93536
Moreau, L.; Aeyels, D.; Peuteman, J.; Sepulchre, R.
3
2002
Stability of perturbed delay differential equations and stabilization of nonlinear cascade systems. Zbl 1002.34069
Michiels, W.; Sepulchre, R.; Roose, D.
4
2001
Robust stabilization of a nonlinear cement mill model. Zbl 1004.93504
Grognard, F.; Jadot, F.; Magni, L.; Bastin, G.; Sepulchre, R.
1
2001
Slow peaking and low-gain designs for global stabilization of nonlinear systems. Zbl 0978.93058
Sepulchre, Rodolphe
14
2000
Boundedness properties for time-varying nonlinear systems. Zbl 0986.34048
Peuteman, Joan; Aeyels, Dirk; Sepulchre, Rodolphe
5
2000
CLF based designs with robustness to dynamic input uncertainties. Zbl 0917.93026
Jankovic, Mrdjan; Sepulchre, Rodolphe; Kokotovic, Petar V.
11
1999
Lyapunov functions for stable cascades and applications to global stabilization. Zbl 0958.93080
Mazenc, F.; Sepulchre, R.; Jankovic, M.
11
1999
Global stabilization of feedforward systems with exponentially unstable Jacobian linearization. Zbl 0917.93060
Grognard, F.; Sepulchre, R.; Bastin, G.
9
1999
Asymptotic stability for time-variant systems and observability: Uniform and nonuniform criteria. Zbl 0899.93030
Aeyels, D.; Sepulchre, R.; Peuteman, J.
7
1998
Constructive nonlinear control. Zbl 1067.93500
Sepulchre, R.; Janković, M.; Kokotović, P.
222
1997
Integrator forwarding: A new recursive nonlinear robust design. Zbl 0881.93066
Sepulchre, Rodolphe; Jankovic, Mrdjan; Kokotovic, Petar V.
28
1997
Global adaptive stabilization of cascade nonlinear systems. Zbl 0876.93082
Jankovic, Mrdjan; Sepulchre, Rodolphe; Kokotovic, Petar V.
20
1997
Stability margins of nonlinear receding-horizon control via inverse optimality. Zbl 0902.93061
Magni, L.; Sepulchre, R.
19
1997
Recursive designs and feedback passivation. Zbl 0894.93036
Sepulchre, Rodolphe; Janković, Mrdjan; Kokotović, Petar V.
1
1997
Constructive Lyapunov stabilization of nonlinear cascade systems. Zbl 0869.93039
Jankovic, Mrdjan; Sepulchre, Rodolphe; Kokotovic, Petar V.
51
1996
Stabilizability does not imply homogeneous stabilizability for controllable homogeneous systems. Zbl 0879.93038
Sepulchre, Rodolphe; Aeyels, Dirk
10
1996
Homogeneous Lyapunov functions and necessary conditions for stabilization. Zbl 0881.93063
Sepulchre, R.; Aeyels, D.
8
1996
On the convergence of a time-variant linear differential equation arising in identification. Zbl 0832.93051
Aeyels, Dirk; Sepulchre, R.
6
1994
Stability for dynamical systems with first integrals: A topological criterion. Zbl 0763.34041
Aeyels, D.; Sepulchre, R.
7
1992
all top 5

Cited by 2,352 Authors

31 Sepulchre, Rodolphe J.
26 Absil, Pierre-Antoine
15 Ortega, Romeo S.
15 Zhao, Jun
14 Lewis, Frank Leroy
14 Saberi, Ali
13 Efimov, Denis V.
13 Feng, Gang
13 Stoorvogel, Anton A.
12 Mazenc, Frédéric
11 Gallivan, Kyle A.
10 Allgower, Frank
10 Geng, Zhiyong
10 Hong, Yiguang
10 Jiang, Zhong-Ping
10 Ren, Wei
10 Wen, Zaiwen
9 Arcak, Murat
9 Huang, Wen
9 Nešić, Dragan
9 Zhang, Lei-Hong
8 Bergmann, Ronny
8 De Persis, Claudio
8 Krstić, Miroslav
8 Li, Shihua
8 Loria, Antonio
8 Sato, Hiroyuki
8 Sontag, Eduardo D.
8 Thunberg, Johan
8 Trendafilov, Nickolay T.
8 Uschmajew, André
7 Bai, Zhengjian
7 Boumal, Nicolas
7 Grip, Håvard Fjær
7 Hu, Xiaoming
7 Jankovic, Mrdjan
7 Jiang, Yaolin
7 Johansson, Karl Henrik
7 Liu, Lu
7 Nuño, Emmanuel
7 Steidl, Gabriele
7 Su, Youfeng
7 Ye, Xudong
7 Zhao, Zhi
6 Birtea, Petre
6 Bullo, Francesco
6 Chaillet, Antoine
6 Chen, Zhiyong
6 Comănescu, Dan
6 Ferreira, Orizon Pereira
6 Fradkov, Aleksandr L’vovich
6 Franci, Alessio
6 Giesl, Peter
6 Gonçalves, Jorge M.
6 Ha, Seung-Yeal
6 Huang, Jie
6 Jin, Xiaoqing
6 Kokotovic, Petar V.
6 Leok, Melvin
6 Leonard, Naomi Ehrich
6 Magni, Lalo
6 Meng, Ziyang
6 Oseledets, Ivan V.
6 Pang, Hongbo
6 Proskurnikov, Anton Viktorovich
6 Qian, Chunjiang
6 Shim, Hyungbo
6 Sra, Suvrit
6 Vandereycken, Bart
6 Xie, Lihua
6 Xu, Jianxin
6 Xu, Kangli
6 Yang, Tao
6 Yuan, Ya-xiang
6 Zhang, Xianfu
6 Zorzi, Mattia
5 Basañez, Luis
5 Bürger, Mathias
5 Chen, Yangyang
5 Dimarogonas, Dimos V.
5 Do, Khac Duc
5 Grohs, Philipp
5 Guan, Xinping
5 Hammami, Mohamed Ali
5 Hosseini, Reshad
5 Li, Zhongkui
5 Liu, Liang
5 Liu, Zhenwei
5 Lunze, Jan
5 Ornelas-Tellez, Fernando
5 Sanchez, Edgar N.
5 Sarlette, Alain
5 Schneider, Reinhold
5 Schnörr, Christoph
5 Schulz, Volker H.
5 Seo, Jin Heon
5 Song, Wenjun
5 Usevich, Konstantin
5 van de Wouw, Nathan
5 Wang, Jinzhi
...and 2,252 more Authors
all top 5

Cited in 206 Serials

257 Automatica
118 Systems & Control Letters
73 International Journal of Control
70 International Journal of Robust and Nonlinear Control
62 Journal of the Franklin Institute
39 SIAM Journal on Optimization
31 European Journal of Control
29 SIAM Journal on Matrix Analysis and Applications
27 SIAM Journal on Scientific Computing
23 Linear Algebra and its Applications
21 Nonlinear Dynamics
20 SIAM Journal on Control and Optimization
19 Mathematical Problems in Engineering
19 International Journal of Systems Science. Principles and Applications of Systems and Integration
18 Journal of Optimization Theory and Applications
16 Asian Journal of Control
14 Applied Mathematics and Computation
14 MCSS. Mathematics of Control, Signals, and Systems
14 Mathematical Programming. Series A. Series B
13 Journal of Mathematical Imaging and Vision
12 SIAM Journal on Imaging Sciences
11 Computational Optimization and Applications
11 Foundations of Computational Mathematics
11 Journal of Machine Learning Research (JMLR)
10 Journal of Computational and Applied Mathematics
10 Numerische Mathematik
9 International Journal of Systems Science
9 Journal of Computational Physics
9 The Annals of Statistics
9 Neural Computation
9 Automation and Remote Control
9 Journal of Systems Science and Complexity
9 Optimization Letters
8 SIAM Journal on Numerical Analysis
8 Journal of Scientific Computing
8 Chaos
7 BIT
7 Optimal Control Applications & Methods
7 Numerical Algorithms
7 Computational Statistics and Data Analysis
7 Journal of Nonlinear Science
7 SIAM Journal on Applied Dynamical Systems
7 Nonlinear Analysis. Hybrid Systems
6 Journal of Mathematical Analysis and Applications
6 Machine Learning
6 Computational Statistics
6 International Journal of Computer Vision
5 Journal of Mathematical Physics
5 Information Sciences
5 Applied Mathematics Letters
5 International Journal of Adaptive Control and Signal Processing
5 Journal of Global Optimization
5 Advances in Computational Mathematics
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Discrete and Continuous Dynamical Systems. Series B
4 Biological Cybernetics
4 Inverse Problems
4 Psychometrika
4 Chaos, Solitons and Fractals
4 Kybernetika
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Applied and Computational Harmonic Analysis
4 Discrete and Continuous Dynamical Systems
4 Communications in Nonlinear Science and Numerical Simulation
4 Journal of Control Science and Engineering
4 Set-Valued and Variational Analysis
4 Control Theory and Technology
3 International Journal of Circuit Theory and Applications
3 Circuits, Systems, and Signal Processing
3 Physica D
3 Applied Numerical Mathematics
3 Neural Networks
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Applied Mathematical Modelling
3 Journal of Statistical Computation and Simulation
3 SIAM Review
3 The Journal of Fourier Analysis and Applications
3 Optimization Methods & Software
3 International Journal of Applied Mathematics and Computer Science
3 Multiscale Modeling & Simulation
3 Electronic Journal of Statistics
3 Science China. Mathematics
3 Statistics and Computing
2 Computer Methods in Applied Mechanics and Engineering
2 Linear and Multilinear Algebra
2 Mathematics of Computation
2 Journal of Geometry and Physics
2 Applied Mathematics and Optimization
2 Fuzzy Sets and Systems
2 Journal of Approximation Theory
2 Journal of Statistical Planning and Inference
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Numerical Functional Analysis and Optimization
2 Constructive Approximation
2 European Journal of Applied Mathematics
2 Japan Journal of Industrial and Applied Mathematics
2 Pattern Recognition
2 SIAM Journal on Applied Mathematics
2 Vestnik St. Petersburg University. Mathematics
2 Journal of Mathematical Sciences (New York)
...and 106 more Serials
all top 5

Cited in 51 Fields

860 Systems theory; control (93-XX)
291 Numerical analysis (65-XX)
250 Computer science (68-XX)
222 Operations research, mathematical programming (90-XX)
128 Calculus of variations and optimal control; optimization (49-XX)
118 Linear and multilinear algebra; matrix theory (15-XX)
112 Ordinary differential equations (34-XX)
98 Statistics (62-XX)
75 Information and communication theory, circuits (94-XX)
69 Differential geometry (53-XX)
66 Biology and other natural sciences (92-XX)
58 Mechanics of particles and systems (70-XX)
56 Dynamical systems and ergodic theory (37-XX)
35 Partial differential equations (35-XX)
35 Global analysis, analysis on manifolds (58-XX)
34 Combinatorics (05-XX)
27 Probability theory and stochastic processes (60-XX)
24 Operator theory (47-XX)
18 Algebraic geometry (14-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
13 Statistical mechanics, structure of matter (82-XX)
10 Fluid mechanics (76-XX)
10 Quantum theory (81-XX)
9 Approximations and expansions (41-XX)
8 Functional analysis (46-XX)
8 Geometry (51-XX)
7 Difference and functional equations (39-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Topological groups, Lie groups (22-XX)
6 Real functions (26-XX)
6 Manifolds and cell complexes (57-XX)
6 Mechanics of deformable solids (74-XX)
4 Optics, electromagnetic theory (78-XX)
3 Special functions (33-XX)
3 Convex and discrete geometry (52-XX)
3 Algebraic topology (55-XX)
2 Mathematical logic and foundations (03-XX)
2 Functions of a complex variable (30-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Geophysics (86-XX)

Citations by Year