Weak maximum principle for optimal control problems of nonsmooth systems

Ilter S.

APPLIED MATHEMATICS AND COMPUTATION, vol.218, no.3, pp.805-808, 2011 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 218 Issue: 3
  • Publication Date: 2011
  • Doi Number: 10.1016/j.amc.2011.03.064
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.805-808
  • Istanbul University Affiliated: Yes

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.