Basic problems in stability and design of switched systems

D Liberzon, AS Morse - IEEE control systems magazine, 1999 - ieeexplore.ieee.org
By a switched system, we mean a hybrid dynamical system consisting of a family of
continuous-time subsystems and a rule that orchestrates the switching between them. The …

Perspectives and results on the stability and stabilizability of hybrid systems

RA DeCarlo, MS Branicky, S Pettersson… - Proceedings of the …, 2000 - ieeexplore.ieee.org
This paper introduces the concept of a hybrid system and some of the challenges associated
with the stability of such systems, including the issues of guaranteeing stability of switched …

[КНИГА][B] Predictive control for linear and hybrid systems

F Borrelli, A Bemporad, M Morari - 2017 - books.google.com
Model Predictive Control (MPC), the dominant advanced control approach in industry over
the past twenty-five years, is presented comprehensively in this unique book. With a simple …

[КНИГА][B] Switching in systems and control

D Liberzon - 2003 - Springer
l\lany systems encountered in practice involve a coupling between contin uous dynamics
and discrete events. Systems in which these two kinds of dynamics coexist and interact are …

[HTML][HTML] Review on computational methods for Lyapunov functions

P Giesl, S Hafstein - Discrete and Continuous Dynamical Systems …, 2015 - aimsciences.org
Lyapunov functions are an essential tool in the stability analysis of dynamical systems, both
in theory and applications. They provide sufficient conditions for the stability of equilibria or …

[КНИГА][B] An introduction to hybrid dynamical systems

AJ Van Der Schaft, H Schumacher - 2007 - books.google.com
This book is about dynamical systems that are" hybrid" in the sense that they contain both
continuous and discrete state variables. Recently there has been increased research …

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 …

Switched controller synthesis for the quadratic stabilisation of a pair of unstable linear systems

M Wicks, P Peleties, R DeCarlo - European journal of control, 1998 - Elsevier
This paper considers a system consisting of a set of two unstable linear autonomous state
models. Control is achieved by selecting which system to activate. The control objective is to …

Stability results for switched controller systems

E Skafidas, RJ Evans, AV Savkin, IR Petersen - Automatica, 1999 - Elsevier
There are many practical control problems where the control action is determined by
switching among a given set of control laws. This paper presents necessary and sufficient …

[КНИГА][B] Switched and impulsive systems: Analysis, design and applications

Z Li, Y Soh, C Wen - 2005 - books.google.com
In this volume the important concept of switched and impulsive control is discussed, with a
wide field of applications in the analysis and control of complex systems. This monograph …