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This paper presents a robust stability analysis method for congestion control in TCP networks based on a time-varying structured uncertainties and time-varying delays control theory. Some delay dependent stability criteria under which TCP system is global stability in terms of the error between instantaneous queue lengths and target queue length is devised. A linear matrix inequality (LMI) stability...
In this paper, Lyapunov approach is applied to study stability and stabilization for linear periodically time-varying descriptor systems. First, a Lyapunov function is found, and a Lyapunov equation is established, then the necessary and sufficient conditions for strong asymptotical stability are obtained. Further, a corresponding Riccati equation is proposed, and then the stabilization problems of...
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