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Stabilization for a class of delayed coupled PDE-ODE systems with boundary control

机译:具有边界控制的一类时滞耦合PDE-ODE系统的镇定

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A class of coupled PDE-ODE systems with delays at the input and two-directional interconnection at the interfaces (one single point) is discussed in this paper. Exponential stability in the sense of the corresponding norms for the original closed-loop system with the derived controller is obtained by finally transforming the system into an exponentially stable PDEs-ODE cascade with a boundary feedback backstepping controller, and the result is also rigidly proved.
机译:本文讨论了一类耦合的PDE-ODE系统,该系统在输入端具有延迟,在接口处(一个单点)具有双向互连。通过将系统最终转换为带有边界反馈反推控制器的指数稳定PDEs-ODE级联,可以获得具有派生控制器的原始闭环系统在相应范式意义上的指数稳定性,并且也得到了严格的证明。

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