On the existence of ε-optimal trajectories of the control systems with constrained control resources | Zendy

Anar Huseyin | Zendy

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On the existence of ε-optimal trajectories of the control systems with constrained control resources

Author(s) -

Anar Huseyin

Publication year - 2017

Publication title -

communications faculty of science university of ankara series a1mathematics and statistics

Language(s) - English

Resource type - Journals

ISSN - 1303-5991

DOI - 10.1501/commua1_0000000776

Subject(s) - mathematics , ball (mathematics) , optimal control , control (management) , control theory (sociology) , space (punctuation) , control function , set (abstract data type) , radius , closed set , type (biology) , mathematical analysis , computer science , mathematical optimization , artificial intelligence , ecology , computer security , biology , programming language , operating system

The control system described by a Urysohn type integral equationis considered. It is assumed that the admissible control functions are chosenfrom the closed ball of the space Lp; p > 1;with radius r and centered atthe origin. Precompactness of the set of trajectories of the control system inthe space of continuous functions is shown. This allows to prove that optimalcontrol problem with lower semicontinuous payog functional has an "-optimaltrajectory for every " > 0

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