Adaptive stabilization of a class of reaction-diffusion systems (Q5957806)

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scientific article; zbMATH DE number 1719121
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Adaptive stabilization of a class of reaction-diffusion systems
scientific article; zbMATH DE number 1719121

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    Adaptive stabilization of a class of reaction-diffusion systems (English)
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    2 December 2002
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    The adaptive stabilization of a class of reaction-diffusion systems governed by a nonlinear partial differential equation of the first order in time but fourth order in space is considered. The adaptive stabilizer is constructed using the concept of high-gain nonlinear output feedback and an estimation mechanism of the unknown parameters under bounded deterministic disturbance. The global asymptotic stability and the convergence of the state of the control system will be guaranteed.
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    nonlinear boundary control
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    adaptive stabilization
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    reaction-diffusion systems
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    nonlinear partial differential equation
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    high-gain nonlinear output feedback
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