Linear-quadratic control of Volterra integral systems and extensions

S. A. Belbas

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arXiv · 2101.04902

Linear-quadratic control of Volterra integral systems and extensions

S. A. Belbas

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Abstract

We study linear-quadratic optimal control problems for Voterra systems, and problems that are linear-quadratic in the control but generally nonlinear in the state. In the case of linear-quadratic Volterra control, we obtain sharp necessary and sufficient conditions for optimality. For problems that are linear-quadratic in the control only, we obtain a novel form of necessary conditions in the form of double Volterra equation; we prove the solvability of such equations.

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S. A. Belbas. 2021-01-13. Linear-quadratic control of Volterra integral systems and extensions. https://arxiv.org/abs/2101.04902

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