Back to Search
Start Over
Eigen series solutions to terminal-state tracking optimal control problems and exact controllability problems constrained by linear parabolic PDEs
- Source :
-
Journal of Mathematical Analysis & Applications . Jan2006, Vol. 313 Issue 1, p284-310. 27p. - Publication Year :
- 2006
-
Abstract
- Abstract: Terminal-state tracking optimal control problems for linear parabolic equations are studied in this paper. The control objectives are to track a desired terminal state and the control is of the distributed type. Explicit solution formulae for the optimal control problems are derived in the form of eigen series. Pointwise-in-time norm estimates for the optimal solutions are obtained and approximate controllability results are established. Exact controllability is shown when the target state vanishes on the boundary of the spatial domain. One-dimensional computational results are presented which illustrate the terminal-state tracking properties for the solutions expressed by the series formulae. [Copyright &y& Elsevier]
- Subjects :
- *EQUATIONS
*MATHEMATICS
*COMPLEX variables
*ELECTRONIC circuit design
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 313
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 19009532
- Full Text :
- https://doi.org/10.1016/j.jmaa.2005.02.067