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Construction of nonpathological Lyapunov functions for discontinuous systems with Caratheodory solutions
Author(s) -
Armaki Alireza Faraji,
Pariz Naser,
Asgharian Rajab
Publication year - 2012
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.274
Subject(s) - lyapunov function , lyapunov equation , mathematics , invariant (physics) , lyapunov redesign , mathematical analysis , control theory (sociology) , control (management) , computer science , mathematical physics , physics , artificial intelligence , nonlinear system , quantum mechanics
This paper presents a method based on the Nonpathological Lyapunov theorem for constructing Lyapunov function (LF) for discontinuous time invariant dynamical systems with Caratheodory solutions. The origin is stable, if the method constructs a Nonpathological Lyapunov Function (NPLF) for the system.Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society