BANG-BANG PROPERTY OF TIME OPTIMAL NULL CONTROLS FOR SOME SEMILINEAR HEAT EQUATION.

Authors :: LIJUAN WANG
QISHU YAN
Source :: SIAM Journal on Control & Optimization; 2016, Vol. 54 Issue 6, p2949-2964, 16p
Publication Year :: 2016
Abstract: In this paper, we derive a bang-bang property of a kind of time optimal control problem for some semilinear heat equation on bounded C<superscript>2</superscript> domains (of the Euclidean space), with homogeneous Dirichlet boundary condition and controls distributed on an open and nonempty subset of the domain where the equation evolves. [ABSTRACT FROM AUTHOR]

Subjects :: FEEDBACK control systems
SEMILINEAR elliptic equations
HEAT equation
OPTIMAL control theory
DIRICHLET problem
SET theory

Full Text Access

Tools