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Please use this identifier to cite or link to this item: http://dspace.library.iitb.ac.in/jspui/handle/10054/1140

Title: Nontangency-based Lyapunov tests for stability and convergence
Authors: BHAT, SP
BERNSTEIN, DENNIS S
Keywords: control theory
lyapunov methods
asymptotic stability
nonlinear control system
Issue Date: 2001
Publisher: IEEE
Citation: Proceedings of the American Control Conference (V 6), Arlington, USA, 25-27 June 2001, 4840-4845
Abstract: We give new results for Lyapunov and asymptotic stability of nonlinear systems. In addition, we also give results for convergence and semistability. Convergence is the property whereby every trajectory of a system converges to a limit point that may depend upon the initial condition. Semistability is the additional requirement that the limit points of the trajectories of a convergent system also be Lyapunov stable. Our results do not make assumptions of sign definiteness on the Lyapunov function. Instead, our results use a novel nontangency condition between the system dynamics and the level sets of the Lyapunov function or its derivative. Using this nontangency condition, we extend previously known Lyapunov stability and asymptotic stability results involving semidefinite Lyapunov functions.
URI: 10.1109/ACC.2001.945749
http://hdl.handle.net/10054/1140
http://dspace.library.iitb.ac.in/xmlui/handle/10054/1140
ISBN: 0-7803-6495-3
Appears in Collections:Proceedings papers

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