Title :
On necessary conditions for almost global stability
Author_Institution :
Fac. de Ingenieria, Univ. de la Republica, Montevideo, Uruguay
Abstract :
Some potential applications of the density functions to analysis and synthesis of nonlinear control systems have been studied by Rantzer and Parrilo (2000) and Rantzer and Ceragioli (2001). In this work we prove the necessity of the existence of a density function for a globally asymptotically stable dynamical system.
Keywords :
asymptotic stability; control system analysis; density functional theory; nonlinear dynamical systems; asymptotically stability; density function; dynamic systems; global stability; necessary conditions; nonlinear control systems; Asymptotic stability; Control system synthesis; Density functional theory; Density measurement; Ellipsoids; Linear systems; Lyapunov method; Sufficient conditions; Time measurement; Trajectory;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1185041
