期刊
MATHEMATICAL CONTROL AND RELATED FIELDS
卷 8, 期 2, 页码 383-395出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mcrf.2018015
关键词
Schrodinger equation; constrained boundary control; collocated observation; maximal monotone operator; invariant principle; stability
资金
- Natural Science Foundation of China [NSFC-61573252]
Design of controller subject to a constraint for a Schrodinger equation is considered based on the energy functional of the system. Thus, the resulting closed-loop system is nonlinear and its well-posedness is proven by the nonlinear monotone operator theory and a complex form of the nonlinear Lax-Milgram theorem. The asymptotic stability and exponential stability of the system are discussed with the LaSalle invariance principle and Riesz basis method, respectively. In the end, a numerical simulation illustrates the feasibility of the suggested feedback control law.
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