On the existence of time optimal controls for linear evolution equations
By K. Phung, GengshengBB Wang, Xu Zhang. 2007
66 citations recorded by the source corpus.
This work concerns with the existence of the time optimal controls for some linear evolution equations without the a priori assumption on the existence of admissible controls. Both global and local existence results are presented. Some necessary conditions, sufficient conditions, and necessary and sufficient conditions for the existence of time optimal controls are derived by establishing the relationship between controllability and time optimal control problems.
Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/5fc9559d517451347a4668e351b47d1fc57dc2a2
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In Computational Theory and Mathematics
In Control and Systems Engineering
In Numerical Analysis
Citations in the corpus
- A unified controllability/observability theory for some stochastic and deterministic partial differential equations (2010, background): “It is shown in [37] that the study of this problem is unexpectedly difficult even for the 1− d wave equation and heat equation.”