Controller design and stability analysis for Schrdinger equation subject to a restricted boundary feedback

作     者：Haoyue Cui Dongyi Liu Genqi Xu 

作者单位：Tianjin University of CommerceSchool of Science Tianjin UniversitySchool of Mathematics 

会议名称：《第37届中国控制会议》

会议日期：2018年

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 0701[理学-数学] 071101[理学-系统理论] 0811[工学-控制科学与工程] 

基　　金：supported by National Natural Science Foundation(NNSF)of China under Grant 61773277 

关 键 词：Schrdinger equation constrained boundary control maximal monotone operator invariant principle stability 

摘      要：Design of controller subject to a constraint for a Schr ¨odinger equation is *** controller is deduced based on the energy functional of the *** the resulting system is nonlinear,the monotone operator theory and a complex form of the nonlinear Lax-Milgram theorem are adopted to prove the *** the La Salle invariance principle,the asymptotic stability of the system is obtained.