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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...
This paper is concerned with quadratic stabilization problem of linear parameter varying (LPV) systems, where arbitrary time-varying dependent parameters are belonging to a polytope. It provides improved linear matrix inequality (LMI)-based conditions to compute a gain-scheduling state-feedback gain that makes closed-loop system quadratically stable. The proposed conditions, based on the philosophy...
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