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Vladikavkazskii Matematicheskii Zhurnal, 2016, Volume 18, Number 1, Pages 63–70 (Mi vmj573)  
On an optimal control problem for a linear system with variable structure

R. O. Mastaliyev

Institute of Control Systems, National Academy of Sciences of Azerbaijan, Baku, Azerbaijan
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Abstract: The necessary and sufficient condition for optimality in the form of the Pontryagin maximum principle in optimal control problem with variable linear structure, described by linear difference and integral-differential equations of Volterra type, is obtained. Under some additional assumptions sufficient optimality conditions are also derived.
Key words: optimal control problem, linear system with variable structure, differential Volterra type equation, integro-differential Volterra type equation.
Funding agency Grant number
Фонд развития науки при президенте Азербайджанской республики EIF/GAM-2-2013-2(8)-25/06/1
Received: 24.02.2015
Document Type: Article
UDC: 517.977
Language: Russian
Citation: R. O. Mastaliyev, “On an optimal control problem for a linear system with variable structure”, Vladikavkaz. Mat. Zh., 18:1 (2016), 63–70
Citation in format AMSBIB
\Bibitem{Mas16}
\by R.~O.~Mastaliyev
\paper On an optimal control problem for a~linear system with variable structure
\jour Vladikavkaz. Mat. Zh.
\yr 2016
\vol 18
\issue 1
\pages 63--70
\mathnet{http://mi.mathnet.ru/vmj573}
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