The existence of time optimal control of semilinear parabolic equations

Systems and Control Letters

Volumn 53, Issue 3-4, 2004, Pages 171-175

  Wang, Gengsheng ^a  

^a WUHAN UNIVERSITY   (China)

Author keywords

Controllability; Semilinear parabolic equation; Stabilization; Time optimal control

Indexed keywords

BOUNDARY CONDITIONS; CONTROLLABILITY; FEEDBACK CONTROL; FUNCTION EVALUATION; OPTIMAL CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; SET THEORY; STABILIZATION; SYSTEM STABILITY; THEOREM PROVING;

ADMISSIBLE CONTROL; NEUMANN BOUNDARY CONDITIONS; SEMILINEAR PARABOLIC EQUATION; TIME OPTIMAL CONTROL;

PROBLEM SOLVING;

EID: 4644373977     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2004.04.002     Document Type: Article

References (9)

1. Aniculaesei Gh., Anita S. Stabilization of the heat equation via internal feedback control. Nonlinear Functional Anal. Appl. 6:2001;12-24.
2. Barbu V. Analysis and Control of Nonlinear Infinite Dimensional Systems. 1993;Academic Press, Boston.
3. Barbu V. Controllability of parabolic and Navier-Stokes equations. Sci. Math. Japonica. 6:2002;143-211.
4. q norm Differential Integral Equations. 15(5):2002;513-525.
5. H.O. Fattorini, Infinite-dimensional Optimization and Control Theory, Encyclopaedia of Mathematics and its Applications, Vol. 62, Cambridge University Press, Cambridge, UK, 1999.
6. Fursifov A.V., Imanuvilov O.Yu. Controllability of Evolution Equations. Lecture Notes Series. Vol. 34:1996;RIM, Seoul University, Korea.
7. J.P. LaSalle, The time optimal control problem, Contributions to the Theory of Nonlinear Oscillations 5, Princeton University Press, Princeton, 1960, pp. 1-24.
8. Li X., Yong J. Optimal Control Theory for Infinite Dimensional Systems. 1995;Birkhauser, Boston.
9. Wang L., Wang G. The time optimal control of phase-field system. SIAM J. Control Optim. 42(4):2003;1483-1508.