Optimal Control for Klein-Gordon-Schrödinger Quantum System in Complex Hilbert Space

Optimal control problem for Klein-Gordon-Schrödinger quantum system is originally considered in complex Hilbert space at the framework of variational method. In particular, existence of weak solution and existence of optimal quantum control are proved, respectively. Necessary optimality condition is...

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Bibliographic Details
Published in2018 37th Chinese Control Conference (CCC) pp. 8144 - 8149
Main Author Wang, Quan-Fang
Format Conference Proceeding
LanguageEnglish
Published Technical Committee on Control Theory, Chinese Association of Automation 01.07.2018
Subjects
Aerospace electronics
Complex Hilbert space
Cost function
Hilbert space
Klein-Gordon-Schrödinger equation
Mathematical model
Necessary optimality condition
Optimal control
Quantum mechanics
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Summary:Optimal control problem for Klein-Gordon-Schrödinger quantum system is originally considered in complex Hilbert space at the framework of variational method. In particular, existence of weak solution and existence of optimal quantum control are proved, respectively. Necessary optimality condition is deduced for quadratic cost function. Finally, Band-Bang principle is found for specified admissible set of control space.
ISSN:2161-2927
DOI:10.23919/ChiCC.2018.8483916