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State feedback control design to avoid players going bankrupt

This paper investigates the state feedback control design problem to avoid players going bankrupt for a class of networked evolutionary games. First, an algebraic expression is formulated for the given networked evolutionary games by using the semi‐tensor product of matrices. Then, based on the algebraic form, a necessary and sufficient condition for the existence of state feedback control, which can guarantee that no players will go bankrupt, is presented. Finally, an illustrative example demonstrates the effectiveness of the obtained results.