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An algorithm of homogeneous stabilization of a generalized linear plant in a Hilbert spaceHilbert space is developed. Issues of homogenization of linear plants are discussed. Algorithms for homogeneous stabilization of nonlinear systems with locally Lipschitz continuous nonlinearities are developed. Partial homogeneous finite-time stabilization of systems with modal operators is considered. Theoretical results are illustrated by various examples of control design for PDE models.Partial Differential Equation (PDE)

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Homogeneous Stabilization of Infinite-Dimensional Systems

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  • 发表日期：

    2025年

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  • Andrey Polyakov

摘要

An algorithm of homogeneous stabilization of a generalized linear plant in a Hilbert spaceHilbert space is developed. Issues of homogenization of linear plants are discussed. Algorithms for homogeneous stabilization of nonlinear systems with locally Lipschitz continuous nonlinearities are developed. Partial homogeneous finite-time stabilization of systems with modal operators is considered. Theoretical results are illustrated by various examples of control design for PDE models.Partial Differential Equation (PDE)