Necessary Conditions for Optimality of Control to the Complete State for Systems Described by Ordinary Differential Equations with Delays in State and Control.


Irena Lasiecka


The problem of optimal control for the complete final state is considered. It is assumed that the set of admissible solutions is closed, convex and has a non-empty interior. Both constant and time-varying delays are taken into consideration. Necessary conditions are formulated and proved in the form of the maximum principle. A regularity condition assuring a nontrivial character of the maximum principle is given. Using the obtained results an example of optimal control for a one-dimensional linear equation is solved.

Publication Title

Arch Automat Telemech

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