Time optimal control of semilinear parabolic equations via bilinear controls
type: Item
instance of: scholarly article
title: Time optimal control of semilinear parabolic equations via bilinear controls
zbMATH Open document ID: 1250.49005
author: Yinling Hou
author: Peidong Lei
author: Hongliang Zhao
published in: Systems \& Control Letters
publication date: 2012-09-14T00:00:00Z
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 35K35
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 6082670
zbMATH Keywords: time optimal control
zbMATH Keywords: bilinear control
zbMATH Keywords: semilinear parabolic equation
zbMATH Keywords: gradient quadratic growth
MaRDI profile type: Publication
full work available at URL: j.sysconle.2012.04.001
OpenAlex ID: W2056733053
cites work: Q4399897
cites work: Q5730324
cites work: Q3273446
cites work: Q4355647
cites work: Analysis and control of nonlinear infinite dimensional systems
cites work: The existence of time optimal control of semilinear parabolic equations
cites work: On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
cites work: Null and approximate controllability for weakly blowing up semilinear heat equations
cites work: Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations
cites work: Approximate Controllability of a Semilinear Heat Equation in $\Bbb R^N$
cites work: A remark on null exact controllability of the heat equation
cites work: Q4486993
cites work: On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient
cites work: Controllability for Distributed Bilinear Systems
cites work: Strong convergence and arbitrarily slow decay of energy for a class of bilinear control problems
cites work: OPTIMAL CONTROL OF A CONVECTIVE-DIFFUSIVE FLUID PROBLEM
cites work: Bilinear optimal control for a wave equation with viscous damping
cites work: Multiplicative controllability for reaction-diffusion equations with target states admitting finitely many changes of sign
cites work: On bilinear controllability of the parabolic equation with the reaction-diffusion term satisfying Newton's law
cites work: Null controllability of semilinear parabolic equations via the bilinear control
cites work: Bilinear control system with the reaction-diffusion term satisfying Newton's law
cites work: Controllability of partial differential equations governed by multiplicative controls
cites work: Q5562267
cites work: Q5848416
cites work: Stabilization of solutions of a degenerate nonlinear diffusion problem
DOI: 10.1016/J.SYSCONLE.2012.04.001
description: scientific article; zbMATH DE number 6082670