Controller design and stability analysis for Schrdinger equation subject to a restricted boundary feedback
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:Schrdinger 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.