On-line robust parameter identification for parabolic systems (Q2755390)

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scientific article; zbMATH DE number 1669855
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On-line robust parameter identification for parabolic systems
scientific article; zbMATH DE number 1669855

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    On-line robust parameter identification for parabolic systems (English)
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    2001
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    sigma modifications
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    adaptive parameter identification
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    parabolic distributed parameter systems
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    parameter projection method
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    infinite-dimensional systems
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    Lyapunov redesign methods
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    This paper proposes a robust scheme for the adaptive parameter identification of parabolic distributed parameter systems. Results from the finite-dimensional treatment of the parameter projection method and ``sigma'' modifications of the standard adaptation rules are extended to infinite-dimensional systems. Robust adaptive schemes are proposed by using Lyapunov redesign methods. Then the convergence of the state error to zero is established along with boundedness and possibly parameter convergence. Numerical simulations are also given.
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