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Multiple Lyapunov functions and other analysis tools for switched and hybrid systems

JOURNAL ARTICLE published April 1998 in IEEE Transactions on Automatic Control

Authors: M.S. Branicky

https://doi.org/10.1109/9.664150

Convergence analysis of nonlinear dynamical systems by nested Lyapunov functions

JOURNAL ARTICLE published 1998 in IEEE Transactions on Automatic Control

Authors: N. Peterfreund | Y. Baram

https://doi.org/10.1109/9.704997

Computation of piecewise quadratic Lyapunov functions for hybrid systems

JOURNAL ARTICLE published April 1998 in IEEE Transactions on Automatic Control

Authors: M. Johansson | A. Rantzer

https://doi.org/10.1109/9.664157

Multiple Lyapunov Functions-Based Small-Gain Theorems for Switched Interconnected Nonlinear Systems

JOURNAL ARTICLE published August 2017 in IEEE Transactions on Automatic Control

Research funded by National Natural Science Foundation of China (61304058,61233002) | IAPI Fundamental Research Funds (2013ZCX03-02) | Fundamental Research Funds for the Central Universities (N150404024)

Authors: Lijun Long

https://doi.org/10.1109/tac.2017.2648740

An Integral-Type Multiple Lyapunov Functions Approach for Switched Nonlinear Systems

JOURNAL ARTICLE published July 2016 in IEEE Transactions on Automatic Control

Authors: Lijun Long | Jun Zhao

https://doi.org/10.1109/tac.2015.2484332

Stabilization of nonlinear switched systems using control Lyapunov functions

JOURNAL ARTICLE published December 2007 in Nonlinear Analysis: Hybrid Systems

Authors: Emmanuel Moulay | Romain Bourdais | Wilfrid Perruquetti

https://doi.org/10.1016/j.nahs.2005.12.001

A unified framework for hybrid control: model and optimal control theory

JOURNAL ARTICLE published 1998 in IEEE Transactions on Automatic Control

Authors: M.S. Branicky | V.S. Borkar | S.K. Mitter

https://doi.org/10.1109/9.654885

Multiple Lyapunov Functions Analysis Approach for Discrete-Time-Switched Piecewise-Affine Systems Under Dwell-Time Constraints

JOURNAL ARTICLE published May 2020 in IEEE Transactions on Automatic Control

Research funded by National Natural Science Foundation of China (61973131,61603221,U1813201) | Scientific Research Funds of Huaqiao University (605-50Y19010) | Australian Research Council (DP120104986) | NSW Cyber Security Network in Australia (P00025091)

Authors: Yanzheng Zhu | Wei Xing Zheng

https://doi.org/10.1109/tac.2019.2938302

Integral ISS for Switched Nonlinear Time-Varying Systems Using Indefinite Multiple Lyapunov Functions

JOURNAL ARTICLE published January 2019 in IEEE Transactions on Automatic Control

Research funded by National Natural Science Foundation of China (61773100,61773098) | IAPI Fundamental Research Funds (2013ZCX03) | Fundamental Research Funds for the Central Universities (N170405006)

Authors: Lijun Long

https://doi.org/10.1109/tac.2018.2833159

Further comments on "Vector norms as Lyapunov functions for linear systems"

JOURNAL ARTICLE published February 1998 in IEEE Transactions on Automatic Control

Authors: K. Loskot | A. Polanski | R. Rudnicki

https://doi.org/10.1109/9.661083

Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach

JOURNAL ARTICLE published November 2002 in IEEE Transactions on Automatic Control

Authors: J. Daafouz | P. Riedinger | C. Iung

https://doi.org/10.1109/tac.2002.804474

On Linear Copositive Lyapunov Functions and the Stability of Switched Positive Linear Systems

JOURNAL ARTICLE published July 2007 in IEEE Transactions on Automatic Control

Authors: O. Mason | R. Shorten

https://doi.org/10.1109/tac.2007.900857

Homogeneous Rational Lyapunov Functions for Performance Analysis of Switched Systems With Arbitrary Switching and Dwell Time Constraints

JOURNAL ARTICLE published October 2017 in IEEE Transactions on Automatic Control

Authors: Graziano Chesi | Patrizio Colaneri

https://doi.org/10.1109/tac.2017.2681802

Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems

JOURNAL ARTICLE published August 2010 in IEEE Transactions on Automatic Control

Authors: Ettore Fornasini | Maria Elena Valcher

https://doi.org/10.1109/tac.2010.2049918

Designing Switched Observers for Switched Systems Using Multiple Lyapunov Functions and Dwell-Time Switching

BOOK CHAPTER published 2006 in Analysis and Design of Hybrid Systems 2006

Authors: Stefan Pettersson

https://doi.org/10.1016/b978-008044613-4.50007-0

Discovering multiple Lyapunov functions for switched hybrid systems with global exponential stability

PROCEEDINGS ARTICLE published December 2015 in 2015 54th IEEE Conference on Decision and Control (CDC)

Authors: Junjie Lu | Zhikun She | Bai Xue

https://doi.org/10.1109/cdc.2015.7402882

Nice reachability for planar bilinear control systems with applications to planar linear switched systems [corrected]

JOURNAL ARTICLE published June 2009 in IEEE Transactions on Automatic Control

Authors: M. Margaliot | M.S. Branicky

https://doi.org/10.1109/tac.2009.2022905

Nice reachability for planar bilinear control systems with applications to planar linear switched systems

JOURNAL ARTICLE published April 2009 in IEEE Transactions on Automatic Control

Authors: Michael Margaliot | Michael S. Branicky

https://doi.org/10.1109/tac.2008.2010987

Stability of switched and hybrid systems

PROCEEDINGS ARTICLE published in Proceedings of 1994 33rd IEEE Conference on Decision and Control

Authors: M.S. Branicky

https://doi.org/10.1109/cdc.1994.411688

On Positive-Realness and Lyapunov Functions for Switched Linear Differential Systems

JOURNAL ARTICLE published August 2016 in IEEE Transactions on Automatic Control

Authors: J. C. Mayo-Maldonado | P. Rapisarda

https://doi.org/10.1109/tac.2015.2484329

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