Optimal Control Problem for Switched System with the Nonsmooth Cost Functional | Zendy

Shahlar Meherrem | Zendy; Rufan Akbarov | Zendy

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Optimal Control Problem for Switched System with the Nonsmooth Cost Functional

Author(s) -

Shahlar Meherrem,

Rufan Akbarov

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/681862

Subject(s) - mathematics , optimal control , minification , mathematical optimization , control (management) , control theory (sociology) , computer science , artificial intelligence

We examine the relationships between lower exhausters, quasidifferentiability (in the Demyanov and Rubinov sense), and optimal control for switching systems. Firstly, we get necessary optimality condition for the optimal control problem for switching system in terms of lower exhausters. Then, by using relationships between lower exhausters and quasidifferentiability, we obtain necessary optimality condition in the case that the minimization functional satisfies quasidifferentiability condition

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