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 …

Optimal control of hybrid switched systems: A brief survey

F Zhu, PJ Antsaklis - Discrete Event Dynamic Systems, 2015 - Springer
This paper surveys recent results in the field of optimal control of hybrid and switched
systems. We first summarize results that use different problem formulations and then explore …

[图书][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 …

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 …

[图书][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 …

Computation of piecewise quadratic Lyapunov functions for hybrid systems

M Johansson, A Rantzer - 1997 European Control Conference …, 1997 - ieeexplore.ieee.org
This paper presents a computational approach to stability analysis of nonlinear and hybrid
systems. The search for a piecewise quadratic Lyapunov function is formulated as a convex …

Optimal control of switched systems based on parameterization of the switching instants

X Xu, PJ Antsaklis - IEEE transactions on automatic control, 2004 - ieeexplore.ieee.org
This paper presents a new approach for solving optimal control problems for switched
systems. We focus on problems in which a prespecified sequence of active subsystems is …

Piecewise quadratic stability of fuzzy systems

M Johansson, A Rantzer… - IEEE Transactions on …, 1999 - ieeexplore.ieee.org
Presents an approach to stability analysis of fuzzy systems. The analysis is based on
Lyapunov functions that are continuous and piecewise quadratic. The approach exploits the …

Analysis and synthesis of switched linear control systems

Z Sun, SS Ge - Automatica, 2005 - Elsevier
Switched linear systems have a long history of interest in the control community, and have
attracted considerable attention recently because they are not only practically relevant, but …