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Discontinuity, Nonlinearity, and Complexity 5(1) (2016) 9--18 | DOI:10.5890/DNC.2016.03.002

M. Plekhanova

South Ural State University, Chelyabinsk, Russia

Chelyabinsk State University, Chelyabinsk, Russia

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Abstract

Optimal control problems for a class of semilinear distributed systems unsolved with respect to the times derivative are studied. Two types of initial condition for the system state and various cost functionals are considered in the problems. Abstract results are illustrated by examples of the start control problems for the quasistationary system of phase field equations.

Acknowledgments

The work is supported by the grant 14-01-31125 of Russian Foundation for Basic Research and supported by Laboratory of Quantum Topology of Chelyabinsk State University (Russian Federation government grant 14.Z50.31.0020

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