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In this paper, the stabilization bound problem for time-delay singularly perturbed systems (SPSs) with actuator saturation is considered. Based on the Lyapunov-Kravoskii functional and linear matrix inequality (LMI) approach, the design method of stabilization controller for SPSs with time-delay and actuator saturation is proposed. Then, the problem of estimating the domain of attraction depending...
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...
The problem of global exponential stability for a class of nonlinear singularly perturbed systems is examined in this paper. Our stability analysis is based on the use of basic results of integral manifold of nonlinear singularly perturbed systems, the composite Lyapunov method and the notations and properties of Tensoriel algebra. Some of the derived results are presented as linear matrix inequalities...
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