Optimal control of Goursat-Volterra systems

Details Optimal control of Goursat-Volterra systems Optimal control of Goursat-Volterra systems

2007-05-29

arxiv.org/abs/0705.4272v1

Mathematics

Optimization and Control

71 pages

Scientific paper

We analyze an optimal control problem for systems of integral equations of Volterra type with two independent variables. These systems generalize both, the hyperbolic control problems for systems of Goursat-Darboux type, and the optimal control of ordinary (i.e. with one independent variable) Volterra integral equations. We prove extremal principles akin to Pontryagin's maximum principle.

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