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Original Articles

A numerical technique for the stability analysis of linear switched systems

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Pages 1019-1039 | Received 03 Feb 2004, Published online: 19 Feb 2007

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Ali Karami, Mohammad Javad Yazdanpanah & Behzad Moshiri. (2019) Robust switching signal estimation for a class of uncertain nonlinear switched systems. International Journal of Control 92:5, pages 1094-1102.
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Xiaozhan Yang, H. K. Lam & Ligang Wu. (2019) Necessary and sufficient stability condition for second-order switched systems: a phase function approach. International Journal of Control 92:4, pages 926-939.
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Articles from other publishers (37)

Sigurdur Hafstein. (2023) Lyapunov Functions for Switched Linear Systems: Proof of Convergence for an LP Computational Approach. IEEE Control Systems Letters 7, pages 3283-3288.
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Stefania Andersen, Peter Giesl & Sigurdur Hafstein. (2023) Common Lyapunov Functions for Switched Linear Systems: Linear Programming-Based Approach. IEEE Control Systems Letters 7, pages 901-906.
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Sebastiaan van den Eijnden, W.P.M.H. Heemels, Henk Nijmeijer & Marcel Heertjes. (2022) Stability and performance analysis of hybrid integrator–gain systems: A linear matrix inequality approach. Nonlinear Analysis: Hybrid Systems 45, pages 101192.
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Sigurdur Hafstein. 2022. Informatics in Control, Automation and Robotics. Informatics in Control, Automation and Robotics 584 606 .
Sigurdur Hafstein. 2019. Simulation and Modeling Methodologies, Technologies and Applications. Simulation and Modeling Methodologies, Technologies and Applications 274 299 .
Aleksandra Lekic & Dusan Stipanovic. (2017) Stable switching control of DC-DC converters. Stable switching control of DC-DC converters.
Nicola Guglielmi, Linda Laglia & Vladimir Protasov. (2015) Polytope Lyapunov Functions for Stable and for Stabilizable LSS. Foundations of Computational Mathematics 17:2, pages 567-623.
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Sigurdur Hafstein & Peter Giesl. (2015) Review on computational methods for Lyapunov functions. Discrete and Continuous Dynamical Systems - Series B 20:8, pages 2291-2331.
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C. Yfoulis, D. Giaouris, F. Stergiopoulos, C. Ziogou, S. Voutetakis & S. Papadopoulou. (2015) Robust constrained stabilization of boost DC–DC converters through bifurcation analysis. Control Engineering Practice 35, pages 67-82.
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Jonathan C. Mayo-Maldonado, Paolo Rapisarda & Paula Rocha. (2014) Stability of Switched Linear Differential Systems. IEEE Transactions on Automatic Control 59:8, pages 2038-2051.
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C. Yfoulis, D. Giaouris, F. Stergiopoulos, C. Ziogou, S. Voutetakis & S. Papadopoulou. (2014) Flexible polyhedral Lyapunov functions for the robust constrained stabilization of bilinear boost DC-DC converters. Flexible polyhedral Lyapunov functions for the robust constrained stabilization of bilinear boost DC-DC converters.
C. Yfoulis, D. Giaouris, F. Stergiopoulos, C. Ziogou, S. Voutetakis & S. Papadopoulou. (2014) Robust constrained stabilization of a boost DC-DC converter with Lyapunov-based control and piecewise-linear Lyapunov functions. Robust constrained stabilization of a boost DC-DC converter with Lyapunov-based control and piecewise-linear Lyapunov functions.
Nikolaos Athanasopoulos & Mircea Lazar. (2014) Alternative Stability Conditions for Switched Discrete Time Linear Systems. IFAC Proceedings Volumes 47:3, pages 6007-6012.
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Christos Yfoulis, Damian Giaouris, Spyridon Voutetakis & Simira Papadopoulou. (2013) Constrained switching stabilization of a dc-dc boost converter using piecewise-linear Lyapunov functions. Constrained switching stabilization of a dc-dc boost converter using piecewise-linear Lyapunov functions.
宜伟 冯. (2013) Survey of Networked Control Systems Based on Switched Systems. Artificial Intelligence and Robotics Research 02:03, pages 83-90.
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Roman Kuiava, Rodrigo A. Ramos & Hemanshu R. Pota. (2012) A new approach for modeling and control of nonlinear systems via norm-bounded linear differential inclusions. Sba: Controle & Automação Sociedade Brasileira de Automatica 23:4, pages 387-403.
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Mircea Lazar & Alina I. Doban. (2011) On infinity norms as Lyapunov functions for continuous-time dynamical systems. On infinity norms as Lyapunov functions for continuous-time dynamical systems.
Mircea Lazar. (2010) On infinity norms as Lyapunov functions: Alternative necessary and sufficient conditions. On infinity norms as Lyapunov functions: Alternative necessary and sufficient conditions.
Christos A. Yfoulis. (2010) Constrained switching stabilization of linear uncertain switched systems using piecewise linear Lyapunov functions. Transactions of the Institute of Measurement and Control 32:5, pages 529-566.
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Hai Lin & Panos J. Antsaklis. (2010) Asymptotic disturbance attenuation properties for uncertain switched linear systems. Nonlinear Analysis: Hybrid Systems 4:2, pages 279-290.
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A. Balestrino, A. Caiti, E. Crisostomi & S. Grammatico. (2010) R-composition of quadratic Lyapunov functions for stabilizability of linear differential inclusions. IFAC Proceedings Volumes 43:21, pages 204-210.
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Tingshu Hu & Franco Blanchini. (2010) Non-conservative matrix inequality conditions for stability/stabilizability of linear differential inclusions. Automatica 46:1, pages 190-196.
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Hai Lin & Panos J. Antsaklis. (2009) Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results. IEEE Transactions on Automatic Control 54:2, pages 308-322.
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Tingshu Hu & Franco Blanchini. (2008) Polyhedral functions, composite quadratic functions, and equivalent conditions for stability/stabilization. Polyhedral functions, composite quadratic functions, and equivalent conditions for stability/stabilization.
Hai Lin & Panos J. Antsaklis. (2008) Asymptotic Disturbance Attenuation Properties for Continuous-Time Uncertain Switched Linear Systems. IFAC Proceedings Volumes 41:2, pages 2669-2674.
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Shiping Wen, Zhigang Zeng & Lingfa Zeng. 2008. Advances in Neural Networks - ISNN 2008. Advances in Neural Networks - ISNN 2008 720 729 .
Hai Lin & Panos J. Antsaklis. (2007) Characterizing uniformly ultimately bounded switching signals for uncertain switched linear systems. Characterizing uniformly ultimately bounded switching signals for uncertain switched linear systems.
Christos A. Yfoulis. (2007) Robust Stabilizability of linear uncertain switched systems : a computational algorithm. Robust Stabilizability of linear uncertain switched systems : a computational algorithm.
Yuping Zhang, Hong Zhu & Shouming Zhong. (2007) Robust non-fragile H¿ Control for a Class of Switched Neutral Systems. Robust non-fragile H¿ Control for a Class of Switched Neutral Systems.
Zhijian Ji, Xiaoxia Guo & Long Wang. (2007) Online and Offline Stabilization of Switched Linear Systems. Online and Offline Stabilization of Switched Linear Systems.
Hai Lin & Panos J. Antsaklis. (2007) Switching Stabilizability for Continuous-Time Uncertain Switched Linear Systems. IEEE Transactions on Automatic Control 52:4, pages 633-646.
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Tingshu Hu. (2007) Nonlinear control design for linear differential inclusions via convex hull of quadratics. Automatica 43:4, pages 685-692.
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Robert Shorten, Fabian Wirth, Oliver Mason, Kai Wulff & Christopher King. (2007) Stability Criteria for Switched and Hybrid Systems. SIAM Review 49:4, pages 545-592.
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Michael Margaliot. (2006) Stability analysis of switched systems using variational principles: An introduction. Automatica 42:12, pages 2059-2077.
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Zhijian Ji, Shixu Xu & Xiaoxia Guo. (2006) An improved result on overshoot estimation. An improved result on overshoot estimation.
Michael Margaliot & Christos Yfoulis. (2006) Absolute stability of third-order systems: A numerical algorithm. Automatica 42:10, pages 1705-1711.
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M. Margaliot & C. Yfoulis. (2005) A Numerical Algorithm for Solving the Absolute Stability Problem in R>sup<3>/sup<. A Numerical Algorithm for Solving the Absolute Stability Problem in R>sup<3>/sup<.

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