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The stability analysis problem of two kinds of discrete time positive switched delay systems is considered. One kind of systems is positive switched delay systems composed of all stable subsystems, the other is positive switched delay systems composed of not all stable subsystems. Based on multiple linear copositive Lyapunov functionals and mode-dependent average dwell time (MDADT) switching, delay-dependent...
This paper concerns the problem of robust stability analysis for a polytopic system with interval time-varying delay via parameter-dependent Lyapunov functions. By a relaxation approach with slack matrices and a descriptor model transformation of the system, the product between Lyapunov variables and the system matrices is eliminated. With this feature, a delay-dependent robust stability criterion...
This paper deals with the exponential synchronization problem for a class of dynamical delayed complex networks with each node being a general Lur'e system. The network model considered can represent both the directed and undirected weighted networks. Based on the Lyapunov stability theory and property of the coupling matrix, the delay-dependent linear controllers are designed and the controlled networks...
In this paper, a congestion control scheme is developed, analyzed and implemented in a noncooperative game framework. By using a network model based on fluid approximations and through a realistic modeling of queues, the existence of a unique equilibrium is established as well as its global asymptotic stability for a general network topology, where boundary effects are also taken into account. The...
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