Stability and stabilizability of switched linear systems: a survey of recent results

H Lin, PJ Antsaklis - IEEE Transactions on Automatic control, 2009 - ieeexplore.ieee.org
During the past several years, there have been increasing research activities in the field of
stability analysis and switching stabilization for switched systems. This paper aims to briefly …

Stability theory of switched dynamical systems

Z Sun, SS Ge - 2011 - Springer
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[КНИГА][B] Switched linear systems: control and design

Z Sun - 2006 - books.google.com
Switched linear systems have a long history in the control literature but-along with hybrid
systems more generally-they have enjoyed a particular growth in interest since the 1990s …

Stability criteria for switched and hybrid systems

R Shorten, F Wirth, O Mason, K Wulff, C King - SIAM review, 2007 - SIAM
The study of the stability properties of switched and hybrid systems gives rise to a number of
interesting and challenging mathematical problems. The objective of this paper is to outline …

On linear copositive Lyapunov functions and the stability of switched positive linear systems

O Mason, R Shorten - IEEE Transactions on Automatic Control, 2007 - ieeexplore.ieee.org
We consider the problem of common linear copositive Lyapunov function existence for
positive switched linear systems. In particular, we present a necessary and sufficient …

Stability analysis of switched positive systems: a switched linear copositive Lyapunov function method

X Liu - IEEE Transactions on Circuits and Systems II: Express …, 2009 - ieeexplore.ieee.org
This brief addresses the stability problem of discrete-time switched positive systems. The
main contribution lies in two aspects. First, a novel method [the switched linear copositive …

Stability of discrete-time systems under restricted switching via logic dynamical generator and STP-based mergence of hybrid states

Y Guo, Y Wu, W Gui - IEEE Transactions on Automatic Control, 2021 - ieeexplore.ieee.org
In this article, we propose a novel technique for the stability analysis of discrete-time
switched systems under constrained switching based on the semitensor product (STP) of …

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

RN Shorten, KS Narendra - International Journal of Adaptive …, 2002 - Wiley Online Library
Necessary and sufficient conditions for the existence of a common quadratic Lyapunov function
for a finite number of stable seco Page 1 INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL …

An extension of LaSalle's invariance principle and its application to multi-agent consensus

D Cheng, J Wang, X Hu - IEEE Transactions on Automatic …, 2008 - ieeexplore.ieee.org
In the paper, an extension of LaSalle's Invariance Principle to a class of switched linear
systems is studied. One of the motivations is the consensus problem in multi-agent systems …

Robust exponential stability and disturbance attenuation for discrete-time switched systems under arbitrary switching

W **ang, HD Tran, TT Johnson - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
In this note, the global exponential stability of discrete-time switched systems under arbitrary
switching is investigated. First, for discrete-time switched nonlinear systems, the global …