NDLI: Finite-time stability analysis of linear discrete-time systems via polyhedral Lyapunov functions

Content Provider	IEEE Xplore Digital Library
Author	Amato, F. Ambrosino, R. Ariola, M. Calabrese, F.
Copyright Year	2008
Description	Author affiliation: Sch. of Comput. & Biomed. Eng., Univ. degli Studi Magna Gratia di Catanzaro, Catanzaro (Amato, F.)
Abstract	In this paper we consider the finite-time stability problem for discrete-time linear systems. Differently from previous papers, the stability analysis is performed with the aid of polyhedral Lyapunov functions rather than using the classical quadratic Lyapunov functions. In this way we are able to deal with more realistic constraints on the state variables; indeed, in a way which is naturally compatible with polyhedral functions, we assume that the sets to which the state variables must belong to in order to satisfy the finite-time stability requirement are boxes (or more in general polytopes) rather than ellipsoids. The main result, derived by using polyhedral Lyapunov functions, is a sufficient condition for finite-time stability of discrete-time linear systems. Some examples are presented to illustrate the advantages of the proposed methodology over existing methods.
Starting Page	1656
Ending Page	1660
File Size	166568
Page Count	5
File Format	PDF
ISBN	9781424420780
ISSN	07431619
DOI	10.1109/ACC.2008.4586729
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-06-11
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Stability analysis Lyapunov method Linear systems Sufficient conditions Control systems Ellipsoids Asymptotic stability Nonlinear dynamical systems State feedback Linear matrix inequalities
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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