Piecewise quadratic Lyapunov functions for piecewise affine time-delay systems

We investigate some particular classes of hybrid systems subject to a class of time delays; the time delays can be constant or time varying. For such systems, we present the corresponding classes of piecewise continuous Lyapunov functions.

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Bibliographic Details
Published in2004 American Control Conference Proceedings; Volume 5 of 6 Vol. 5; pp. 3885 - 3889 vol.5
Main Authors Kulkarni, V., Myungsoo Jun, Hespanha, J.
Format Conference Proceeding Journal Article
LanguageEnglish
Published Piscataway NJ IEEE 01.01.2004
Evanston IL American Automatic Control Council
Subjects
Aerodynamics
Aerospace engineering
Applied sciences
Computer science; control theory; systems
Control theory. Systems
Delay effects
Differential equations
Exact sciences and technology
Laboratories
Lyapunov method
NP-hard problem
Stability
Time varying systems
Uncertainty
Time varying system
Delay system
Delay time
Affine transformation
Time constant
Lyapunov function
Quadratic function
Piecewise linearization
Hybrid system
Online AccessGet full text
ISBN9780780383357
0780383354
ISSN0743-1619
DOI10.23919/ACC.2004.1383917

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Summary:We investigate some particular classes of hybrid systems subject to a class of time delays; the time delays can be constant or time varying. For such systems, we present the corresponding classes of piecewise continuous Lyapunov functions.
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ISBN:9780780383357
0780383354
ISSN:0743-1619
DOI:10.23919/ACC.2004.1383917