Abstract

Considering the periodic time-varying singular systems, using Lee Yap Andrian of function and linear matrix inequality LMI, asymptotic stability of periodic time-varying system based on variable, the necessary and sufficient conditions for stabilization of singular systems cycle. By introducing the state feedback, the periodic time varying feedback stabilization controller design method for singular systems. The conclusion of this paper and results from the feedback stabilization problem of singular systems to periodic singular systems with time-varying feedback stabilization control problem of the natural generalization. Finally, a numerical example is given, to verify the correctness and validity of the results.

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