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This paper deals with the problem of state feedback guaranteed cost control for discrete-time singularly perturbed systems. We provide the necessary and sufficient condition for the guaranteed cost of the discrete singularly perturbed system and obtain suitable state feedback control law and upper bound of parameter epsiv by linear matrix inequality method. The proposed results can be applied to slow...
Positive realness is very important to discuss in hybrid systems, but it is seldom in the singularly perturbed system (SPS). According to positive real lemma of regular systems and singular systems, positive real lemma is given about the SPS in the paper. Based on the solution to matrix inequalities, sufficient and necessary conditions for positive real state feedback control design are derived. An...
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