Lyapunov and converse Lyapunov theorems for semistability
DSpace at IIT Bombay
View Archive InfoField | Value | |
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
|
|