Stability-enhancing control of a coupled transport-diffusion system with Dirichlet actuation and Dirichlet measurement

DOI10.1016/j.jmaa.2011.11.011zbMath1243.35166OpenAlexW2014929073MaRDI QIDQ663670

Hideki Sano

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.11.011

zbMATH Keywords

closed-loop systemalgebraic approachresidual mode filter

Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) Initial-boundary value problems for second-order parabolic equations (35K20) Observability (93B07) PDEs in connection with control and optimization (35Q93)

Related Items (4)

Output Feedback Stabilization of a Reaction-Diffusion PDE in the Presence of Saturations of the Input and Its Time Derivatives ⋮ Low order stabilizing controllers for a class of distributed parameter systems ⋮ Boundary feedback stabilization of Fisher's equation ⋮ Predictor-based output feedback stabilization of an input delayed parabolic PDE with boundary measurement

Cites Work

• Unnamed Item
• Neumann boundary control of a coupled transport-diffusion system with boundary observation
• Stabilization of a coupled transport-diffusion system with boundary input
• Semigroups of linear operators and applications to partial differential equations
• Finite-dimensional controllers for linear distributed parameter systems: Exponential stability using residual mode filters
• A new algebraic approach to stabilization for boundary control systems of parabolic type
• Feedback Stabilization of Linear Diffusion Systems
• An 𝐿²(Ω)-based algebraic approach to boundary stabilization for linear parabolic systems

This page was built for publication: Stability-enhancing control of a coupled transport-diffusion system with Dirichlet actuation and Dirichlet measurement