Stabilization of switched linear systems

D Cheng, L Guo, Y Lin, Y Wang - IEEE transactions on …, 2005 - ieeexplore.ieee.org
In this note, we study the stabilization problem of systems that switch among a finite set of
controllable linear systems with arbitrary switching frequency. For both cases of known and …

Adaptive stabilization of linear systems via switching control

M Fu, B Barmish - IEEE transactions on Automatic Control, 1986 - ieeexplore.ieee.org
In this paper, we develop a method for adaptive stabilization without a minimum-phase
assumption and without knowledge of the sign of the high-frequency gain. In contrast to …

Stability and stabilizability of switched linear systems: A short survey of recent results

H Lin, PJ Antsaklis - Proceedings of the 2005 IEEE International …, 2005 - ieeexplore.ieee.org
During the last decade, there has been increasing interest in the stability analysis and
switching control design for switched linear systems. This paper aims to briefly survey recent …

Exponential stabilization of discrete-time switched linear systems

W Zhang, A Abate, J Hu, MP Vitus - Automatica, 2009 - Elsevier
This article studies the exponential stabilization problem for discrete-time switched linear
systems based on a control-Lyapunov function approach. It is proved that a switched linear …

Combined stabilizing strategies for switched linear systems

Z Sun - IEEE Transactions on Automatic Control, 2006 - ieeexplore.ieee.org
For a class of switched linear systems, we propose a switching strategy that combines time-
driven switching with event-driven switching. This switching strategy not only makes the …

Stabilizability and insensitivity of switched linear systems

Z Sun - IEEE Transactions on Automatic Control, 2004 - ieeexplore.ieee.org
This note identifies two types of stabilizability for switched systems: the pointwise
stabilizability and the consistent stabilizability. Necessary conditions and sufficient …

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 …

Observer-based stabilization of switching linear systems

ZG Li, CY Wen, YC Soh - Automatica, 2003 - Elsevier
In this paper, we present a “deep pole assignment method” to study the observer-based
stabilization of switching linear systems where the dynamics of each mode are known a …

Stabilizability of switched linear systems does not imply the existence of convex Lyapunov functions

F Blanchini, C Savorgnan - … of the 45th IEEE Conference on …, 2006 - ieeexplore.ieee.org
Counterexamples are given which show that a linear switched system (with controlled
switching) that can be stabilized by means of a suitable switching law does not necessarily …

Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle

JP Hespanha - IEEE transactions on Automatic Control, 2004 - ieeexplore.ieee.org
This paper addresses the uniform stability of switched linear systems, where uniformity
refers to the convergence rate of the multiple solutions that one obtains as the switching …