Input-to-state stability analysis of heat equation with boundary finite-time control
From MaRDI portal
Publication:6152564
DOI10.1016/j.automatica.2023.111443zbMath1530.93427OpenAlexW4389216066MaRDI QIDQ6152564
Kai-Ning Wu, Denis V. Efimov, Andrey Polyakov, Xinxin Han
Publication date: 13 February 2024
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2023.111443
Control/observation systems governed by partial differential equations (93C20) Input-output approaches in control theory (93D25) Heat equation (35K05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Design of distributed \(H_\infty\) fuzzy controllers with constraint for nonlinear hyperbolic PDE systems
- Finite-time multi-agent deployment: a nonlinear PDE motion planning approach
- Strict Lyapunov functions for semilinear parabolic partial differential equations
- Input-to-state stability for PDEs
- ISS-like estimates for nonlinear parabolic PDEs with variable coefficients on higher dimensional domains
- Semigroups of linear operators and applications to partial differential equations
- Input-to-state stability with respect to boundary disturbances for a class of semi-linear parabolic equations
- Boundary time-varying feedbacks for fixed-time stabilization of constant-parameter reaction-diffusion systems
- Global asymptotic stability of limit cycle and \(\mathcal{H}_2/ \mathcal{H}_\infty\) performance of discrete-time switched affine systems
- Finite-dimensional observer-based boundary stabilization of reaction-diffusion equations with either a Dirichlet or Neumann boundary measurement
- Exponential input-to-state stabilization of an ODE cascaded with a reaction-diffusion equation subject to disturbances
- Finite-time and fixed-time stabilization: implicit Lyapunov function approach
- Infinite-dimensional feedback systems: the circle criterion and input-to-state stability
- Null controllability and finite time stabilization for the heat equations with variable coefficients in space in one dimension via backstepping approach
- On the ISS properties of a class of parabolic DPS' with discontinuous control using sampled-in-space sensing and actuation
- Dynamic stabilization of an Euler-Bernoulli beam under boundary control and non-collocated observation
- Stabilization of Bernoulli--Euler Beams by Means of a Pointwise Feedback Force
- Input-to-State Stability of Nonlinear Impulsive Systems
- ISS with Respect to Boundary Disturbances for 1-D Parabolic PDEs
- Boundary Control of PDEs
- Boundary control of an unstable heat equation via measurement of domain-averaged temperature
- Infinite-Dimensional Lur'e Systems: Input-To-State Stability and Convergence Properties
- Monotonicity Methods for Input-to-State Stability of Nonlinear Parabolic PDEs with Boundary Disturbances
- Smooth stabilization implies coprime factorization
- Exponential Stability of Coupled Beams with Dissipative Joints: A Frequency Domain Approach
- Observer-Based Event-Triggered Boundary Control of a Class of Reaction–Diffusion PDEs
- Input-to-State Stability of Infinite-Dimensional Systems: Recent Results and Open Questions
- A De Giorgi Iteration-Based Approach for the Establishment of ISS Properties for Burgers’ Equation With Boundary and In-domain Disturbances
- ISS In Different Norms For 1-D Parabolic Pdes With Boundary Disturbances
- A unified framework for input-to-state stability in systems with two time scales
- Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
- Input-to-state stability of impulsive reaction-diffusion neural networks with infinite distributed delays