Title :
About the sign and stability of equilibria in positive nonlinear systems
Author :
Silva-Navarro, Gerardo ; Alvarez-Gallegos, Jaime
Author_Institution :
Dept. de Ing. Electr., Centro de Investigacion y de Estudios Avanzados, IPN, Mexico City, Mexico
Abstract :
The problem of finding the extension of a well established connection between the sign and stability of the equilibrium in positive linear systems to a class of positive nonlinear systems is addressed. Sufficient conditions have been obtained by applying well-known results in the stability theory as the Matrosov´s comparison principle (1987) and the Lyapunov vector function method
Keywords :
Lyapunov methods; nonlinear systems; stability; Lyapunov vector function method; comparison principle; equilibrium sign; equilibrium stability; positive nonlinear systems; Asymptotic stability; Automatic control; Chemistry; Jacobian matrices; Linear systems; Marine vehicles; Mathematical model; Nonlinear systems; Sufficient conditions; Vectors;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325793
