NDLI: New sufficient conditions for stability analysis of time delay systems using dissipativity theory

Content Provider	IEEE Xplore Digital Library
Author	Chellaboina, V. Haddad, W.M. Kamath, A.
Copyright Year	2004
Description	Author affiliation: Mechanical & Aerosp. Eng., Missouri Univ., Columbia, MO, USA (Chellaboina, V.; Haddad, W.M.)
Abstract	We extend the concepts of dissipativity and exponential dissipativity to provide new sufficient conditions for guaranteeing asymptotic stability of a time delay dynamical system. Specifically, representing a time delay dynamical system as a negative feedback interconnection of a finite-dimensional linear dynamical system and an infinite-dimensional time delay operator, we show that the time delay operator is dissipative. As a special case of this result we show that the storage functional of the dissipative delay operator involves an integral term identical to the integral term appearing in standard Lyapunov-Krasovskii functional. Finally, using stability of feedback interconnection results for dissipative systems, we develop new sufficient conditions for asymptotic stability of time delay dynamical systems. The overall approach provides an explicit framework for constructing Lyapunov-Krasovskii functionals as well as deriving new sufficient conditions for stability analysis of asymptotically stable time delay dynamical systems based on the dissipativity properties of the time delay operator.
Sponsorship	American Automatic Control Council IFAC
Starting Page	4171
Ending Page	4176
File Size	456429
Page Count	6
File Format	PDF
ISBN	0780383354
ISSN	07431619
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-06-30
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Sufficient conditions Stability analysis Delay effects Asymptotic stability Negative feedback Aerospace engineering Symmetric matrices Power engineering and energy Systems engineering and theory Communication networks
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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