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This paper is concerned with the computation of robust stability bounds for time-delay systems with nonlinear time-varying perturbations. Firstly, a delay-independent condition on the robust stability is presented and a method to determine the maximum upper bound of robust stability is given. Then, a delay-dependent robust stability condition is provided. All results are given in terms of LMIs where...
Based on Lyapunov–Krasovskii functional or Lyapunov–Razumikhin functional method and invariant set principle, we presented a new method to estimate the domain of attraction for general recurrent neural networks with time-varying delays. Convex optimization method is proposed to enlarge and estimate the domain of attraction. Local exponential stability conditions are derived, which can be expressed...
Different from the conventional constant anti-windup compensation compensator design, the proposed scheme in this paper depends on the time-varying parameters to reduce the conservatism in obtaining the best performance of the closed-loop system subject to actuator saturation. The estimation of the system performance under the given parameter-dependent compensation gain is also formulated to a linear...
This paper is devoted to stability analysis of a novel delayed neural network, whose neurons are connected with each other through both neurons' feedback connection strength matrix and direct connection strength matrix. Both delay-independent and delay-dependent stability criteria are obtained with Lyapunov-Krasovskii functional method. The criteria are in form of LMI with more slack variables, which...
In this paper, a set invariance analysis and gain scheduling control design approach is proposed for the polytopic linear parameter-varying systems subject to actuator saturation. A set invariance condition is first established. By utilizing this set invariance condition, the design of a time-invariant state feedback law is formulated and solved as an optimization problem with LMI constraints. A gain-scheduling...
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