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
For citation: Milovanovic E. I. , Milovanovic I. Z. Remarks on first Zagreb
indices // Vladikavkazskii matematicheskii zhurnal [Vladikavkaz
Math. J.], vol. 19, no. 1, pp. 71-75.
DOI 10.23671/VNC.2016.1.5955
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