The 'relaxed invariance principle' and its applications

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.<>