Weak maximum principle for optimal control problems of nonsmooth systems

Abstract

In this paper, by considering vector-valued maximum type functions satisfying Lipschitz condition, and optimal control systems with continuous-time which is governed by systems of ordinary differential equation, we derive results similar to Pontryagin's maximum principle and properties concerning the generalized Jacobian set for optimal control problems of these systems. (C) 2011 Elsevier Inc. All rights reserved.