A New Sufficient Condition for Optimal Impulsive Control Problems

• Type: Article in International Conference Proceedings Book
• Date: 2012

Authors

V.A. Oliveira (Author) Other; G.N. Silva (Author) Other; Fernando Lobo Pereira (Author) FEUP

Conference proceedings International

Title: Proceedings of the IEEE Conference on Decision and Control

Pages: 6418-6423

51st IEEE Conference on Decision and Control, CDC 2012

Maui, HI, 10 December 2012 through 13 December 2012

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Scientific classification

FOS: Engineering and technology

CORDIS: Technological sciences

Other information

Authenticus ID: P-008-9K7

DOI: 10.1109/cdc.2012.6425957

Abstract (EN): In this article we introduce the concept of MP-pseudoinvexity for general nonlinear impulsive optimal control problems whose dynamics are specified by measure driven control equations. This is a general paradigm in that, both the absolutely continuous and singular components of the dynamics depend on both the state and the control variables. The key result consists in showing the sufficiency for optimality of the MP-pseudoinvexity. It is proved that, if this property holds, then every process satisfying the maximum principle is an optimal one. This result is obtained in the context of a proper solution concept that will be presented and discussed.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6