Stabilization of linear heat equation with a heat source at intermediate point by boundary control

DOI10.1016/J.AUTOMATICA.2012.11.005zbMath1259.93102OpenAlexW2049994835MaRDI QIDQ1940265

Zhongcheng Zhou, Chunli Guo

Publication date: 6 March 2013

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2012.11.005

zbMATH Keywords

boundary controlclosed-loop systemexponential stabilitybacksteppinglinear heat equationfeedback stabilization controller designprescribed decay ratesource at intermediate pointspatial memory kernel

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Heat equation (35K05)

Related Items (7)

Stabilization of Coupled ODE‐PDE System with Intermediate Point and Spatially Varying Effects Interconnection ⋮ Boundary state feedback exponential stabilization for a one-dimensional wave equation with velocity recirculation ⋮ Boundary stabilization of a \(1\)-D wave equation with multi-point velocity recirculations ⋮ Stabilization of a second order ODE-heat system coupling at intermediate point ⋮ Exponential stabilization of the semilinear heat equation with nonlocal boundary conditions ⋮ Boundary output feedback stabilization for a cascaded wave PDE-ODE system with velocity recirculation and matched disturbance ⋮ Boundary stabilization and state estimation of ODE-transport PDE with in-domain coupling

This page was built for publication: Stabilization of linear heat equation with a heat source at intermediate point by boundary control