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Parametric Absolute Stability of Interconnected Lurie Systems Based on State Feedback

This paper considers parametric absolute stability of interconnected Lurie systems, which consist of several subsystems. The notion of parametric stability is joint problem of feasibility and stability of equilibrium states as the uncertain parameters vary. The existing condition of parametric absolute stability and the stable region are derived by bilinear matrix inequalities. A design method for decentralized state feedback controller is proposed based on parametric stable region.