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Lyapunov-based boundary feedback design for parabolic PDEs - MaRDI portal

Lyapunov-based boundary feedback design for parabolic PDEs (Q5157934)

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scientific article; zbMATH DE number 7412020

Language	Label	Description	Also known as
English	Lyapunov-based boundary feedback design for parabolic PDEs	scientific article; zbMATH DE number 7412020

Statements

scholarly article

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Lyapunov-based boundary feedback design for parabolic PDEs (English)

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Iasson Karafyllis

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International Journal of Control

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publication date

20 October 2021

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full work available at URL

https://arxiv.org/abs/1905.01701

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zbMATH Keywords

boundary feedback

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semilinear parabolic PDEs

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global stabilisation

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MaRDI profile type

MaRDI publication profile

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Boundary control of the Korteweg-de Vries-Burgers equation: further results on stabilization and well-posedness, with numerical demonstration

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Representation and control of infinite dimensional systems

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Nonlinear and robust control of PDE systems. Methods and applications to transport-reaction processes

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Finite Dimensional Compensators for Parabolic Distributed Systems with Unbounded Control and Observation

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Robust sampled-data control of a class of semilinear parabolic systems

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Stability and stabilization of nonlinear systems.

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Input-to-state stability for PDEs

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Small-Gain-Based Boundary Feedback Design for Global Exponential Stabilization of One-Dimensional Semilinear Parabolic PDEs

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Global Stabilization of a Class of Nonlinear Reaction-Diffusion Partial Differential Equations by Boundary Feedback

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On global stabilization of Burgers' equation by boundary control.

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Boundary Control of PDEs

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Stability enhancement by boundary control in the Kuramoto-Sivashinsky equation

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Strict Lyapunov functions for semilinear parabolic partial differential equations

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Construction of Lyapunov Functions for Interconnected Parabolic Systems: An iISS Approach

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Non-coercive Lyapunov functions for infinite-dimensional systems

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Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart \& Winston, Inc.

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On General Properties of Eigenvalues and Eigenfunctions of a Sturm–Liouville Operator: Comments on “ISS With Respect to Boundary Disturbances for 1-D Parabolic PDEs”

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Distributed event-triggered control of diffusion semilinear PDEs

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Sampled-data relay control of diffusion PDEs

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Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations

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Control of 1-D parabolic PDEs with Volterra nonlinearities. I: Design

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Control of 1D parabolic PDEs with Volterra nonlinearities. II: Analysis

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Identifiers

zbMATH Open document ID

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10.1080/00207179.2019.1641230

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5157934

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