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Titlebook: Robust Control for Nonlinear Time-Delay Systems; Changchun Hua,Liuliu Zhang,Xinping Guan Book 2018 Springer Nature Singapore Pte Ltd. 2018

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Backstepping Control for Nonlinear Time-Delay System via L-K Functioninear system, which brings a challenging issue for controller design. With an introduced new Lyapunov–Krasovskii functional and the help of backstepping method, we develop memoryless state feedback controller, which does not need the precise knowledge of time delay. It is rigorously proved that the
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Output Feedback Stabilization for Interconnected Time-Delay Systemsd observer independent of the time delay is first designed. Then, we employ the bounds information of uncertain interconnections to construct the decentralized output feedback controller via backstepping design method. Based on Lyapunov stability theory, we show that the designed controller can rend
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Decentralized Prescribed Performance Tracking of Stochastic Time-Delay Systemnce control. The subsystems are in the form of triangular structure. First, we design a reduced-order observer independent of time delay to estimate the unmeasured state variables online instead of the traditional full-order observer. Then, by proposing a new state transformation with the performanc
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Robust Stabilization of Single Nonlinear Time-Delay Systemuniformly ultimately bounded stable. Novel nonlinear feedback controllers are developed by employing Razumikhin lemma, and the controller also can render the closed-loop systems stable in the sense of uniform ultimate boundedness. Finally, several examples are given to show the potential of the proposed techniques.
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Exponential Stabilization for Interconnected Time-Delay Systemscontroller makes the solutions of the closed-loop system exponentially convergent to a ball, which can be rendered arbitrary small by adjusting design parameters. Finally, a numerical example is given to show the feasibility and effectiveness of the proposed design techniques.
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Robust Adaptive Control for Time-Delay System via T-S Fuzzy Approacholler is presented. By employing a new Lyapunov–Krasovskii functional, we show that the resulting closed-loop system is exponentially stable and the solutions are uniformly ultimately bounded. Finally, simulation examples are given to show the effectiveness of the proposed methods.
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