The existence of time optimal control of semilinear parabolic equations

DOI10.1016/j.sysconle.2004.04.002zbMath1157.49301OpenAlexW2047877122MaRDI QIDQ2503654

Gengsheng Wang

Publication date: 21 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2004.04.002

zbMATH Keywords

ControllabilityStabilizationSemilinear parabolic equationTime optimal control

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear parabolic equations (35K55) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

Analysis of a time optimal control problem related to the management of a bioreactor, \(L^p\) and \(L^\infty\) norm estimates of the cost of the controllability for heat equations, The Bang-Bang principle of time optimal controls for the heat equation with internal controls, Time optimal controls of the Cahn-Hilliard equation with internal control, Time Optimal Control Problem of the 3D Navier-Stokes-α Equations, Multiplicative controllability of semilinear parabolic equations with Neumann boundary conditions, Time optimal control of the unsteady 3D Navier-Stokes-Voigt equations, Bang-bang principle of time optimal controls and null controllability of fractional order parabolic equations, Time optimal control problem of the 2D MHD equations with memory, Time optimal controls of the linear Fitzhugh-Nagumo equation with pointwise control constraints, Time optimal controls of the Fitzhugh-Nagumo equation with internal control, Time optimal control of semilinear parabolic equations via bilinear controls, On the null controllability of parabolic equations with nonlinear memory, Time optimal controls of the Lengyel-Epstein model with internal control, Null controllability for a semilinear parabolic equation with gradient quadratic growth, On optimal location of diffusion and related optimal control for null controllable heat equation, Admissible controls and controllable sets for a linear time-varying ordinary differential equation, Optimal actuator location for time and norm optimal control of null controllable heat equation, Controllability for parabolic equations with nonlinear memory, Bang-bang property for time optimal control of semilinear heat equation, The Bang-bang principle of time optimal controls for the Kuramoto-Sivashinsky-KdV equation with internal control

Cites Work

• Analysis and control of nonlinear infinite dimensional systems
• The Carleman inequality for linear parabolic equations in \(L^q\) norm.
• The Optimal Time Control of A Phase-Field System
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item