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Exponentially stabilizing finite-dimensional controllers for linear distributed parameter systems: Galerkin approximation of infinite dimensional controllers - MaRDI portal

Exponentially stabilizing finite-dimensional controllers for linear distributed parameter systems: Galerkin approximation of infinite dimensional controllers (Q1082307)

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scientific article; zbMATH DE number 3972743
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English
Exponentially stabilizing finite-dimensional controllers for linear distributed parameter systems: Galerkin approximation of infinite dimensional controllers
scientific article; zbMATH DE number 3972743

    Statements

    Exponentially stabilizing finite-dimensional controllers for linear distributed parameter systems: Galerkin approximation of infinite dimensional controllers (English)
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    1986
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    A scheme for designing finite-dimensional controllers based on a Galerkin approximation of an infinite-dimensional controller for linear distributed parameter systems is presented. Sufficient conditions under which the Galerkin approximation will exponentially stabilize the closed- loop system are given, provided of course approximations of sufficiently high order are taken.
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    exponential stability
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    reduced order model
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    finite-dimensional controllers
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    Galerkin approximation
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    linear distributed parameter systems
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