Title :
Stability of nonlinear time variant infinite dimensional systems with delay
Abstract :
We consider a class of nonlinear time-variant infinite dimensional a class retarded systems governed by functional-differential equations in a Banach space. It is assumed that the linear part of the equations is unbounded variable operator and the nonlinearities satisfy the local Lipschitz conditions. A solution estimate is derived. By virtue ofthat estimate stability conditions are established.
Keywords :
Banach spaces; control nonlinearities; delays; differential equations; functional equations; multidimensional systems; nonlinear control systems; stability criteria; Banach space; class retarded systems; delay; functional-differential equations; local Lipschitz conditions; nonlinear time variant infinite dimensional system stability; nonlinearities; solution estimate; stability conditions; unbounded variable operator; Abstracts; Aerospace electronics; Delays; Differential equations; Equations; Mathematical model; Stability analysis; infinite dimensional systems; time delay;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2