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This paper focuses on the problem of robust fault-tolerant control for uncertain linear discrete systems with time-delay. On the basis of Lyapunov theory, it is found that a controller based on a kind of memory feed-back control law can keep the uncertainty systempsilas integrity against the actuator failures, and make use of the LMI toolbox in Matlab, we can get the parameters of the controller....
This paper deals with the problem of delay-dependent robust stability for a class of linear systems with multiple time-varying delays and nonlinear perturbations. Based on Lyapunov stability theory combined with linear matrix inequalities (LMIs) techniques, LMIs are derived by taking the relationship between the Leibniz-Newton formula and free weighting matrices, The free terms are chosen according...
The notions of the practical stability in probability and in the pth mean, and the practical controllability in probability and in the pth mean, are introduced for some stochastic systems with Markovian jump parameters and time-varying delays. Sufficient conditions on such practical properties are obtained by using the comparison principle and the Lyapunov function methods. Besides, for a class of...
Synchronization stability in complex dynamical networks with coupling delays is investigated. Nonlinear complex network system is transformed to linear system. A new criterion for global synchronization stability for the complex networks with coupling delays has been derived using an approach combining the Lyapunov-Krasovskii functional with LMI techniques. The results are related to the size of delays...
This paper proposes an improved delay-range-dependent stability condition for linear systems with an interval time-varying delay, which satisfies h1lesd(t)lesh2. The improvement is achieved by representing d(t) as h1+h(t) with 0lesh(t)lesh2-h1, and then constructing a novel Lyapunov-Krasovskii functional with the idea of partitioning the constant time delay. It is illustrated via a numerical example...
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