DocumentCode
3121512
Title
Convergent piecewise affine systems: analysis and design Part II: discontinuous case
Author
Pavlov, Alexey ; Pogromsky, Alexander ; van de Wouw, N. ; Nijmeijer, Henk ; Rooda, Koos
Author_Institution
Department of Engineering Cybernetics, Norwegian University of Science and Technology, NO-7491, Trondheim, Norway. Alexey.Pavlov@itk.ntnu.no
fYear
2005
fDate
12-15 Dec. 2005
Firstpage
5397
Lastpage
5402
Abstract
In this paper convergence properties of piecewise affine (PWA) systems with discontinuous right-hand sides are studied. It is shown that for discontinuous PWA systems existence of a common quadratic Lyapunov function is not sufficient for convergence. For discontinuous bimodal PWA systems necessary and sufficient conditions for quadratic convergence, i.e. convergence with a quadratic Lyapunov function, are derived.
Keywords
Computer aided software engineering; Control systems; Convergence; Lyapunov method; Nonlinear control systems; Nonlinear systems; Performance analysis; Steady-state; Sufficient conditions; Transfer functions;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN
0-7803-9567-0
Type
conf
DOI
10.1109/CDC.2005.1583020
Filename
1583020
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