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DOI: 10.23671/VNC.2016.1.5953

On an Optimal Control Problem for a Linear System with Variable Structure

Mastaliyev R. O.
Vladikavkaz Mathematical Journal 2016. Vol. 18. Issue 1.
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.
Keywords: optimal control problem, linear system with variable structure, differential Volterra type equation, integro-differential Volterra type equation
Language: Russian Download the full text  
For citation: Mastaliyev R. O. On an optimal control problem for a linear system with variable structure // Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 19, no. 1, pp. 63-70. DOI 10.23671/VNC.2016.1.5953
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