NDLI: On Lyapunov stability of a family of nonlinear time-varying systems

Content Provider	IEEE Xplore Digital Library
Author	Kaining Wang Michel, A.N.
Copyright Year	1994
Description	Author affiliation: Dept. of Electr. Eng., Notre Dame Univ., IN, USA (Kaining Wang; Michel, A.N.)
Abstract	Investigates several types of Lyapunov stability of an equilibrium of a family of finite dimensional dynamical systems determined by ordinary differential (difference) equations. By utilising the extreme systems of the family of systems, the authors establish sufficient conditions, as well as necessary conditions (converse theorems) for several robust stability types. The authors' results enable them to realize a significant reduction in the computational complexity of the algorithm of Brayton and Tong in the construction of computer generated Lyapunov functions. Furthermore, the authors demonstrate the applicability of the present results by analyzing robust stability properties of equilibria for Hopfield neural networks and by analyzing the Hurwitz and Schur stability of interval matrices.<>
Starting Page	2131
Ending Page	2136
File Size	522980
Page Count	6
File Format	PDF
ISBN	0780319680
DOI	10.1109/CDC.1994.411418
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-12-14
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Lyapunov method Time varying systems Robust stability Difference equations Differential equations Nonlinear equations Sufficient conditions Computational complexity Hopfield neural networks Stability analysis
Content Type	Text
Resource Type	Article

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