Title :
The `relaxed invariance principle´ and its applications
Author :
Slemrod, Marshall
Author_Institution :
Center for Math. Sci., Wisconsin Univ., Madison, WI, USA
Abstract :
The author describes a novel infinite-dimensional approach to the LaSalle invariance principle. The main idea is that the method avoids the troublesome search for precompactness of orbits that often makes stability analysis of hyperbolic like initial-boundary value problems difficult. The method is quite general and would seem to be applicable to problems in feedback control of aeroelastic-like structures with weak damping
Keywords :
distributed parameter systems; invariance; multidimensional systems; stability; LaSalle invariance principle; aeroelastic-like structures; damping; feedback; infinite-dimensional approach; relaxed invariance; stability; Books; Control systems; Distributed control; Feedback control; Gold; Hilbert space; Nonlinear control systems; Orbits; Smoothing methods; Stability analysis;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194333
