Necessary conditions for some optimal control problems with state-dependent control constraints

• Type: Article in International Conference Proceedings Book
• Date: 1995

Authors

depinho, md (Author) FEUP; ferreira, mm (Author) FEUP

Conference proceedings International

Title: PROCEEDINGS OF THE 34TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4

Pages: 2308-2309

34th IEEE Conference on Decision and Control

NEW ORLEANS, LA, DEC 13-15, 1995

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Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

Other information

Authenticus ID: P-001-HZN

Abstract (EN): Necessary conditions of optimality in the form of Maximum Principles are proved for some optimal control problems with state-dependent control constraints. We consider problems with constraints of the form dx(t)/dt (t) = f1 (t,x(t)) + f2 (t,u(t)) 0 = b1 (t,x(t)) + b2 (t,u(t)) together with end point constraints and pointwise 'set constraints' on the control variable. An optimality condition in the form of a strong Maximum Principle is derived under a convexity hypothesis. We highlight through example the importance of convexity for the validity of our Maximum Principle. Moreover, we show that without such hypothesis no weak version of our Maximum Principle is valid.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 2