Title :
Decay estimates for nonlinear structures
Author :
Komornik, Vilmos
Author_Institution :
Dept. de Math. Univ. Louis Pasteur, Strasbourg, France
Abstract :
Using a special integral inequality instead of the usual Lyapunov method, sharp energy decay rate estimates are obtained for several nonlinear distributed systems. The method applies in particular to the internal or boundary stabilization of the wave equation and some plate models
Keywords :
boundary-value problems; classical mechanics of continuous media; distributed parameter systems; integral equations; nonlinear systems; stability; structural engineering; wave equations; boundary stabilization; energy decay rate estimates; integral inequality; internal stabilization; nonlinear distributed systems; nonlinear structures; plate models; wave equation; Feedback; Hilbert space; Lyapunov method; Partial differential equations;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371261
