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• W2123232585 abstract "In this paper, we consider a problem of stabilization of an ODE-Schro¨dinger cascade, where the interconnection between them is bi-directional at a single point. By using the backstepping approach, which uses an invertible Volterra integral transformation together with the boundary feedback to convert the unstable plant into a well-damped target system, the target system in our case is given as a PDE-ODE cascade with exponential stability at the pre-designed decay rate. Instead of one-step backstepping control, which results in difficulty in finding the kernels, we develop a two-step backstepping control design by introducing an intermediate target system and an intermediate control. The exponential stability of the closed-loop system is investigated using the Lyapunov method. A numerical simulation is provided to illustrate the effectiveness of the proposed design." @default.
• W2123232585 created "2016-06-24" @default.
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• W2123232585 date "2012-06-01" @default.
• W2123232585 modified "2023-09-24" @default.
• W2123232585 title "Stabilization of an ODE-Schr&#x00F6;dinger cascade" @default.
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• W2123232585 doi "https://doi.org/10.1109/acc.2012.6315021" @default.
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