Stabilization of series heat equations with one boundary control
DOI10.1007/s10883-022-09618-wzbMath1526.35071MaRDI QIDQ6054033
Publication date: 24 October 2023
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
exponential stabilizationboundary feedback controlseries system\(N\) heat equationsPDE cascade system
Feedback control (93B52) Asymptotic behavior of solutions to PDEs (35B40) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12)
Cites Work
- Synchronization for a class of coupled linear partial differential systems via boundary control
- Backstepping state feedback regulator design for an unstable reaction-diffusion PDE with long time delay
- Leader-following consensus of multi-agent systems under fixed and switching topologies
- Semigroups of linear operators and applications to partial differential equations
- Stabilization of an unstable reaction-diffusion PDE cascaded with a heat equation
- Stabilization of an ODE-Schrödinger cascade
- Output-feedback stabilization of an anti-stable Schrödinger equation by boundary feedback with only displacement observation
- Backstepping boundary control for first-order hyperbolic PDEs and application to systems with actuator and sensor delays
- Boundary stabilization of a cascade of ODE-wave systems subject to boundary control matched disturbance
- Output feedback stabilization for a cascaded heat PDE‐ODE system subject to uncertain disturbance
- Sliding mode control for N‐coupled reaction‐diffusion PDEs with boundary input disturbances
- Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
- Closed-Form Boundary State Feedbacks for a Class of 1-D Partial Integro-Differential Equations
- Boundary Control of Coupled Reaction-Advection-Diffusion Systems With Spatially-Varying Coefficients
- Stabilization of a System of <formula formulatype="inline"> <tex Notation="TeX">$n+1$</tex></formula> Coupled First-Order Hyperbolic Linear PDEs With a Single Boundary Input
- Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls
This page was built for publication: Stabilization of series heat equations with one boundary control
