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This paper considers the robust stability of linear discrete-time systems with nonlinear perturbations and interval time-varying delay in the state. By using a finite sum inequality approach, new delay-range-dependent stability criteria are developed in terms of linear matrix inequalities (LMIs). It is shown that the proposed criteria can provide less conservative results than some existing ones....
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 is concerned with robust stability of uncertain linear systems with interval time-varying delay. The time-varying delay is assumed to belong to an interval and the derivative of the time-varying delay is upper bounded but otherwise arbitrary. The uncertainties under consideration include polytopic-type uncertainty and linear fractional norm-bounded uncertainty. In order to obtain much less...
This paper investigates the robust Hinfin control for Takagi-Sugeno (T-S) fuzzy systems with interval time-varying delay. By employing a new and tighter integral inequality and constructing an appropriate type of Lyapunov functional, delay-dependent stability criteria are derived for the control problem. Because neither any model transformation nor free weighting matrices are employed in our theoretical...
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