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Piecewise Linear Control Systems: A Computational Approach

Johansson, Mikael LU (2003) In Lecture notes in control and information sciences 284.
Abstract
This book presents a computational approach to the analysis of nonlinear and uncertain systems. The main focus is systems with piecewise linear dynamics. The class of piecewise linear systems examined has nonlinear, possibly discontinuous dynamics, and allows switching rules that incorporate memory and logic. These systems may exhibit astonishingly complex behaviors. Some aspects of the successful theory of linear systems and quadratic criteria are extended here to piecewise linear systems and piecewise quadratic criteria. The book also describes numerical procedures for assessing stability, computing induced gains, and solving optimal control problems for piecewise linear systems. These developments enable researchers to analyze a large... (More)
This book presents a computational approach to the analysis of nonlinear and uncertain systems. The main focus is systems with piecewise linear dynamics. The class of piecewise linear systems examined has nonlinear, possibly discontinuous dynamics, and allows switching rules that incorporate memory and logic. These systems may exhibit astonishingly complex behaviors. Some aspects of the successful theory of linear systems and quadratic criteria are extended here to piecewise linear systems and piecewise quadratic criteria. The book also describes numerical procedures for assessing stability, computing induced gains, and solving optimal control problems for piecewise linear systems. These developments enable researchers to analyze a large and practically important class of control systems that are not easily dealt with when using other techniques. (Less)
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author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Lecture notes in control and information sciences
volume
284
publisher
Springer
ISBN
3-540-44124-7
language
English
LU publication?
yes
id
8ee8338f-4781-4a6e-863a-7ac63941a101 (old id 536663)
date added to LUP
2007-09-06 07:38:02
date last changed
2016-04-16 09:47:27
@misc{8ee8338f-4781-4a6e-863a-7ac63941a101,
  abstract     = {This book presents a computational approach to the analysis of nonlinear and uncertain systems. The main focus is systems with piecewise linear dynamics. The class of piecewise linear systems examined has nonlinear, possibly discontinuous dynamics, and allows switching rules that incorporate memory and logic. These systems may exhibit astonishingly complex behaviors. Some aspects of the successful theory of linear systems and quadratic criteria are extended here to piecewise linear systems and piecewise quadratic criteria. The book also describes numerical procedures for assessing stability, computing induced gains, and solving optimal control problems for piecewise linear systems. These developments enable researchers to analyze a large and practically important class of control systems that are not easily dealt with when using other techniques.},
  author       = {Johansson, Mikael},
  isbn         = {3-540-44124-7},
  language     = {eng},
  publisher    = {ARRAY(0xcbf6668)},
  series       = {Lecture notes in control and information sciences},
  title        = {Piecewise Linear Control Systems: A Computational Approach},
  volume       = {284},
  year         = {2003},
}