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FEEDBACK CONTROL OF A CLASS OF FLEXIBLE SYSTEMS WITH COUPLED BENDING AND TORSIONAL VIBRATIONS
引用本文:YU Nairun,WANG Miansen,ZHU Guangtian Department of Basic Courses Northwest Textile Institute,Xian 710048,China Department of Mathematics,Xian Jiaotong University,Xian710049,China Institute of Systems Science. Academia Sinica,Beijing 100080,China. FEEDBACK CONTROL OF A CLASS OF FLEXIBLE SYSTEMS WITH COUPLED BENDING AND TORSIONAL VIBRATIONS[J]. 系统科学与复杂性, 1993, 0(2)
作者姓名:YU Nairun  WANG Miansen  ZHU Guangtian Department of Basic Courses Northwest Textile Institute  Xian 710048  China Department of Mathematics  Xian Jiaotong University  Xian710049  China Institute of Systems Science. Academia Sinica  Beijing 100080  China
作者单位:YU Nairun;WANG Miansen;ZHU Guangtian Department of Basic Courses Northwest Textile Institute,Xian 710048,China Department of Mathematics,Xian Jiaotong University,Xian710049,China Institute of Systems Science. Academia Sinica,Beijing 100080,China
基金项目:A project supported by the National Natural Science Foundation of China.
摘    要:In this paper, a class of flexible systems of beams with coupled bending andtorsional vibrations, which has important applications in the dynamics of aircraft is dis-cussed. The existence and uniqueness of the solution for this class of systems are proved,where the spectral analysis method and the unconditional base theory are used, and asufficient condition for the asymptotic stability of the closed-loop system is obtained bymeans of the (D) class operators theory.


FEEDBACK CONTROL OF A CLASS OF FLEXIBLE SYSTEMS WITH COUPLED BENDING AND TORSIONAL VIBRATIONS
YU Nairun,WANG Miansen,ZHU Guangtian. FEEDBACK CONTROL OF A CLASS OF FLEXIBLE SYSTEMS WITH COUPLED BENDING AND TORSIONAL VIBRATIONS[J]. Journal of Systems Science and Complexity, 1993, 0(2)
Authors:YU Nairun  WANG Miansen  ZHU Guangtian
Affiliation:YU Nairun,WANG Miansen,ZHU Guangtian Department of Basic Courses Northwest Textile Institute,Xian 710048,China Department of Mathematics,Xian Jiaotong University,Xian710049,China Institute of Systems Science. Academia Sinica,Beijing 100080,China
Abstract:In this paper, a class of flexible systems of beams with coupled bending andtorsional vibrations, which has important applications in the dynamics of aircraft is dis-cussed. The existence and uniqueness of the solution for this class of systems are proved,where the spectral analysis method and the unconditional base theory are used, and asufficient condition for the asymptotic stability of the closed-loop system is obtained bymeans of the (D) class operators theory.
Keywords:Flexible system  feedback control  C_0-semigroup  unconditional base  asymptotic stability
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