Title :
Explicit dissipativeness conditions for simple nonlinear systems
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Newcastle, Newcastle, NSW, Australia
Abstract :
A system is dissipative if it satisfies a special inequality relating the system input and output. (Passivity for example, is a special case of dissipativeness.) The use of the dissipativeness concept includes things like testing interconnected systems for stability. This relies, however, on having practical (and preferably simple) ways of testing whether a given system is dissipative. In this paper, we give a complete solution for the case of a nonlinear system with a one-dimensional state space.
Keywords :
input-output stability; interconnected systems; nonlinear systems; state-space methods; dissipative system; explicit dissipativeness conditions; interconnected systems; nonlinear systems; one-dimensional state space; Interconnected systems; Linear matrix inequalities; Linear systems; Nonlinear dynamical systems; Sufficient conditions; Testing; Nonlinear dynamics; nonlinear control; stability;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
