Game-based control systems: A semi-tensor product formulation

A class of control systems, which are emerged from dynamic games, are considered. Using semi-tensor product of matrices, the set of strategies can be described as a set of matrices. Then the dynamics of such systems can be converted from logical type dynamics into standard discrete-time dynamic systems. Hence, the classical techniques for control systems are applicable to such systems. Semi-tensor product formulation of such systems is investigated. Some related optimal control problems are also investigated.

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