Maximum Principle for State and Mixed Constrained Problems with Equality and Inequality Mixed Constraints: Convex Case

• Type: Article in International Conference Proceedings Book
• Date: 2013

Authors

Biswas, MHA (Author) Other; Maria do Rosário de Pinho (Author) FEUP

Conference proceedings International

Title: AIP Conference Proceedings

Pages: 638-641

11th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM)

GREECE, SEP 21-27, 2013

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Other information

Authenticus ID: P-008-GNY

DOI: 10.1063/1.4825572

Abstract (EN): Here we derive necessary conditions of optimality for optimal control problems with both state and mixed constraints in the form of nonsmooth maximum principle. A special feature of our main result is that the mixed constraints may appear in both the equality and inequality form. These conditions are stated in terms of a "joint" subdifferential with respect to both state and control variables. The use of the "joint" subdifferential gives sufficiency for normal, linear convex problems as it can be interfered by an adaptation of [7].

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 4