Abstract and Applied Analysis
Volume 2003 (2003), Issue 20, Pages 1159-1195
doi:10.1155/S1085337503304014

Nonsmooth optimal regulation and discontinuous stabilization

Abstract

For affine control systems, we study the relationship between an optimal regulation problem on the infinite horizon and stabilizability. We are interested in the case the value function of the optimal regulation problem is not smooth and feedback laws involved in stabilizability may be discontinuous.