Boundary stabilization for time-space fractional diffusion equation

DOI10.1016/J.EJCON.2022.100639zbMath1490.93103OpenAlexW4220909020MaRDI QIDQ2673631

Hua-Cheng Zhou, Jianping Huang

Publication date: 10 June 2022

Published in: European Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejcon.2022.100639

zbMATH Keywords

boundary stabilizationfractional Laplacian operatorfractional diffusion equation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Fractional derivatives and integrals (26A33)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the lack of controllability of fractional in time ODE and PDE
• Approximate controllability of fractional order semilinear systems with bounded delay
• The periodic patch model for population dynamics with fractional diffusion
• Stabilization of coupled linear heterodirectional hyperbolic PDE-ODE systems
• Fractional-order systems and controls. Fundamentals and applications
• Finite-dimensional control of the heat equation: Dirichlet actuation and point measurement
• Boundary control strategy for three kinds of fractional heat equations with control-matched disturbances
• Boundary Mittag-Leffler stabilization of coupled time fractional order reaction-advection-diffusion systems with non-constant coefficients
• Adaptive boundary control for unstable parabolic PDEs. II: Estimation-based designs
• Adaptive boundary control for unstable parabolic PDEs. III: Output feedback examples with swapping identifiers
• Boundary stabilization and disturbance rejection for time fractional order diffusion-wave equations
• Efficient difference method for time-space fractional diffusion equation with Robin fractional derivative boundary condition
• Stabilizability of fractional dynamical systems
• Boundary Stabilization of a 1-D Wave Equation with In-Domain Antidamping
• Output-based disturbance rejection control for 1-D anti-stable Schrödinger equation with boundary input matched unknown disturbance
• Boundary Control of PDEs
• A new dissipation model based on memory mechanism
• Boundary Feedback Stabilization for an Unstable Time Fractional Reaction Diffusion Equation
• Boundary fractional derivative control of the wave equation
• Regional output feedback stabilization of semilinear time‐fractional diffusion systems in a parallelepipedon with control constraints
• Boundary stabilization and disturbance rejection for an unstable time fractional diffusion-wave equation
• Finite difference scheme for time‐space fractional diffusion equation with fractional boundary conditions
• Rigorous Upscaling of Unsaturated Flow in Fractured Porous Media
• Controlled Singular Volterra Integral Equations and Pontryagin Maximum Principle
• Output Feedback Exponential Stabilization of One-Dimensional Wave Equation With Velocity Recirculation
• Feedback Stabilization of a 1-D Linear Reaction–Diffusion Equation With Delay Boundary Control
• A fractional order epidemic model and simulation for avian influenza dynamics
• Stability and Stabilization of Fractional-Order Linear Systems Subject to Input Saturation
• Approximate Controllability of Fractional Evolution Systems with Riemann--Liouville Fractional Derivatives
• From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion

This page was built for publication: Boundary stabilization for time-space fractional diffusion equation