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A unified model for state feedback of discrete event systems II: Control synthesis problems

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  • This paper studies control synthesis problems in a new model framework for discrete event state feedback control systems. The new model framework consists of a basis model as well as concurrent models. We study relationships between the basis model and the concurrent models from the perspective of a predicate being controllable and synthesizable. We derive a linear order for the models, and moreover, show that they are equivalent under certain conditions. Based on this, three conditions are presented for synthesizing a predicate completely. Finally, the optimal control synthesis problem for both the basis model and the concurrent models is studied.
    Mathematics Subject Classification: Primary: 37V45; Secondary: 93C65.

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