NECESSARY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS WITH DISCONTINUOUS TRAJECTORIES.

• Type: Article in International Conference Proceedings Book
• Date: 1986

Authors

Fernando Lobo Pereira (Author) FEUP; Vinter, RB (Author) Other

Conference proceedings International

Title: Proceedings of the IEEE Conference on Decision and Control

Pages: 1986-1987

Proceedings of the 25th IEEE Conference on Decision & Control.

Athens, Greece

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Other information

Authenticus ID: P-00N-5CN

Abstract (EN): Optimal control problems arise in a number of applications, for example, midcourse guidance of space vehicles and resource economics, in which the state trajectories are permitted to be discontinuous. These trajectories can be interpreted as responses to impulsive controls. Necessary conditions of optimality have previously been derived for nonlinear problems of this nature through a change of an independent variable technique which reduces the impulsive control problem to a conventional one. This earlier approach is limited to problems in which the data are regular in time dependence, the control constraint set is independent of time, and the velocity set has a convexity-type property. New necessary conditions which dispose of all these hypotheses are given; and proved by methods of approximation and a limiting argument.

Language: English

Type (Professor's evaluation): Scientific