Game Control Problem for Systems of Distributed Equations

Abstract : We consider a game problem of guaranteed positional control for a distributed system described by the phase field equations under incomplete information on system’s phase states. This problem is investigated from the viewpoint of the first player (the partner). For this player, a procedure for forming feedback controls is specified. This procedure is stable with respect to informational noises and computational errors and is based on the method of extremal shift and the method of stable sets from the theory of guaranteed positional control. It uses the idea of stable dynamical inversion of controlled systems.
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Communication dans un congrès
Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.360-369, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_34〉
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Vyacheslav Maksimov. Game Control Problem for Systems of Distributed Equations. Lorena Bociu; Jean-Antoine Désidéri; Abderrahmane Habbal. 27th IFIP Conference on System Modeling and Optimization (CSMO), Jun 2015, Sophia Antipolis, France. Springer International Publishing, IFIP Advances in Information and Communication Technology, AICT-494, pp.360-369, 2016, System Modeling and Optimization. 〈10.1007/978-3-319-55795-3_34〉. 〈hal-01626906〉

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