V.G. Rzayeva
A necessary optimality condition of the Pontryagin maximum principle type in one problem of optimal control of a system with distributed parameters

We consider a variable-structure optimal control problem described in different domains by a hyperbolic integro-differential equation and a Volterra integral equation, respectively. The quality functional is terminal. A formula for the increment of the quality criterion is constructed and an analogue of L.S. Pontryagin's maximum principle is proved by investigating on special McShane-type variations.

Keywords: Hyperbolic integro-differential equation, Volterra integral equation, Pontryagin maximum principle, Necessary optimality condition, Conjugate equation system

DOI: https://doi.org/10.54381/icp.2023.1.07
Institute of Control Systems of the Ministry of Science and Education of the Republic of Azerbaijan
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