Global Stabilization of a Class of Nonlinear Reaction-Diffusion Partial Differential Equations by Boundary Feedback
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Publication:5243169
DOI10.1137/19M1252235;zbMath1426.93115arXiv1903.10449MaRDI QIDQ5243169
Krstić, Miroslav, Iasson Karafyllis
Publication date: 15 November 2019
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.10449
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Reaction-diffusion equations (35K57) Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20)
Related Items (6)
Adaptive stabilization for an uncertain reaction-diffusion equation with dynamic boundary condition at control end ⋮ Feedback Stabilization of Tank-Liquid System with Robustness to Wall Friction ⋮ Global Stabilization of Compressible Flow between Two Moving Pistons ⋮ Output-feedback control of viscous liquid-tank system and its numerical approximation ⋮ Mittag-Leffler stabilization for short memory fractional reaction-diffusion systems via intermittent boundary control ⋮ Lyapunov-based boundary feedback design for parabolic PDEs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Distributed event-triggered control of diffusion semilinear PDEs
- Robust sampled-data control of a class of semilinear parabolic systems
- Stability and stabilization of nonlinear systems.
- Strict Lyapunov functions for semilinear parabolic partial differential equations
- Nonlinear and robust control of PDE systems. Methods and applications to transport-reaction processes
- Input-to-state stability for PDEs
- Representation and control of infinite dimensional systems
- Functional analysis, Sobolev spaces and partial differential equations
- On global stabilization of Burgers' equation by boundary control.
- Infinite-dimensional dynamical systems in mechanics and physics.
- Backstepping boundary control of Burgers' equation with actuator dynamics
- Null and approximate controllability for weakly blowing up semilinear heat equations
- Compensation of actuator dynamics governed by quasilinear hyperbolic PDEs
- Compensation of input delay that depends on delayed input
- Nonlinear bilateral output-feedback control for a class of viscous Hamilton-Jacobi PDEs
- The role of critical exponents in blow-up theorems: The sequel
- Control of 1-D parabolic PDEs with Volterra nonlinearities. I: Design
- Control of 1D parabolic PDEs with Volterra nonlinearities. II: Analysis
- Sampled-data relay control of diffusion PDEs
- Explicit integral operator feedback for local stabilization of nonlinear thermal convection loop PDEs
- Stabilization of a 1-D tank containing a fluid modeled by the shallow water equations
- Boundary control of the Korteweg-de Vries-Burgers equation: further results on stabilization and well-posedness, with numerical demonstration
- Nonlinear Local Stabilization of a Viscous Hamilton-Jacobi PDE
- The Numerical Computation of Heteroclinic Connections in Systems of Gradient Partial Differential Equations
- Finite Dimensional Compensators for Parabolic Distributed Systems with Unbounded Control and Observation
- Construction of Lyapunov Functions for Interconnected Parabolic Systems: An iISS Approach
- Stability enhancement by boundary control in 2-D channel flow
- Control of Transport PDE/Nonlinear ODE Cascades With State-Dependent Propagation Speed
- Nonlinear Stabilization of Shock-Like Unstable Equilibria in the Viscous Burgers PDE
- Feedback Control of Nonlinear Hyperbolic PDE Systems Inspired by Traffic Flow Models
- Small-Gain-Based Boundary Feedback Design for Global Exponential Stabilization of One-Dimensional Semilinear Parabolic PDEs
- ISS In Different Norms For 1-D Parabolic Pdes With Boundary Disturbances
- Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
- Stability enhancement by boundary control in the Kuramoto-Sivashinsky equation
- Burgers' equation with nonlinear boundary feedback: \(H^1\) stability, well-posedness and simulation
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