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Lyapunov and converse Lyapunov theorems for semistability

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Title Lyapunov and converse Lyapunov theorems for semistability
 
Creator HUI, QING
HADDAD, WASSIM M
BHAT, SP
 
Subject dynamical systems
lyapunov functions
system stability
theorem proving
lyapunov methods
nonlinear dynamical systems
 
Description This paper develops Lyapunov and converse Lyapunov theorems for semistable nonlinear dynamical systems. Semistability is the property whereby the solutions of a dynamical system converge to (not necessarily isolated) Lyapunov stable equilibrium points determined by the system initial conditions. Specifically, we provide necessary and sufficient conditions for semistability and show that semistability implies the existence of a smooth Lyapunov function that decreases along the dynamical system trajectories such that the Lyapunov function satisfies inequalities involving the distance to the set of equilibria.
 
Publisher IEEE
 
Date 2009-10-06T04:22:51Z
2011-11-28T09:03:05Z
2011-12-15T09:58:05Z
2009-10-06T04:22:51Z
2011-11-28T09:03:05Z
2011-12-15T09:58:05Z
2007
 
Type Article
 
Identifier Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, Louisiana, USA, 12-14 December 2007, 5870-5874
978-1-4244-1497-0
10.1109/CDC.2007.4434392
http://hdl.handle.net/10054/1703
http://dspace.library.iitb.ac.in/xmlui/handle/10054/1703
 
Language en