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This brief addresses the asymptotic stability and passivity of uncertain singularly perturbed systems. Based on the Lyapunov stability theory and a singular-system approach, some sufficient conditions in terms of linear matrix inequalities are derived. Three numerical examples are presented to demonstrate the effectiveness of the proposed theoretical results.
In this paper, a robust stabilization of the uncertain singularly perturbed system via a networked state feedback with the transmission time-delay is addressed. Taking its nominal system as a model plant, propagation unit and overall states chosen to overcome the difficulty of communication delay, the characterization of singular perturbation for the overall hybrid system is still preserved on each...
This paper analyses the practical stability of a class of networked nonlinear control system. Systems of interest are those, which can be globally asymptotically stabilized without the insertion of network. Here constant short delay of the network is investigated and packet dropout of the network is omitted. It is shown that if the controller is designed as global asymptotic stability for the plant...
In this paper, a class of nonlinear sampled-data control systems via Lyapunov method and perturbation method of affirm configuration is considered. The feedback stabilization is studied while the sampling periods are both time-varying and driven by a stochastic process with identically independently distributed. Sufficient conditions for exponentially stabilization and almost sure stability are derived
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