Title :
Exponential stabilization of semilinear evolution equations
Author :
Li, Peng ; Ahmed, N.U.
Author_Institution :
Dept. of Electr. Eng., Ottawa Univ., Ont., Canada
Abstract :
The stabilization problems for nonlinear evolution equations in Hilbert space are considered. It is shown that exponential stability (in some sense) can be obtained for both deterministic and stochastic perturbed semilinear evolution equations by choice of a proper feedback control law. In the deterministic systems globally relatively bounded perturbations are considered. However, if only local A-boundedness is assumed, similar stability results can be obtained. For the stochastic case, stability in the mean square sense is presented. Examples for some diffusion equations and a wave equation are given to illustrate the results
Keywords :
diffusion; feedback; perturbation techniques; stability criteria; stochastic systems; wave equations; Hilbert space; diffusion equations; exponential stability; feedback; nonlinear evolution equations; semilinear evolution equations; stochastic systems; wave equation; Control systems; Feedback control; Hilbert space; Linear feedback control systems; Nonlinear equations; Stability; Stochastic processes; Stochastic systems; Sufficient conditions; Tin;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.204002
