Lower semicontinuous Lyapunov functions and subdifferential calculus

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 27 Aug 2003Publisher:IEEEJournal:Proceedings of the 41st IEEE Conference on Decision and Control, 2002., volume 1, pages 717-721

Authors: Q. J. Zhu;

doi: 10.1109/cdc.2002.1184589

Lower semicontinuous Lyapunov functions and subdifferential calculus

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Abstract

We show that lower semicontinuous Lyapunov functions can be used to determine both stable and attractive sets of differential equations with a short proof similar to that of the original Lyapunov indirect method. Several examples illustrate the flexibility of using such lower semicontinuous Lyapunov functions.

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Eastern Michigan University
United States

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