Feedback Stabilization for a Class of Second Order Singular Distributed Parameter System in Hilbert Space

被引:1
|
作者
Feng LIU [1 ]
Guo-dong SHI [2 ]
Zhao-qiang GE [3 ]
机构
[1] School of Mathematics and Physics, Jiangsu University of Technology
[2] School of Information Science and Engineering, Changzhou University
[3] Department of Applied Mathematics, Xi’an Jiaotong University
基金
中国国家自然科学基金;
关键词
feedback stabilization; second order singular distributed parameter system; multi-inputs; Hilbert space;
D O I
暂无
中图分类号
O177.1 [希尔伯特空间及其线性算子理论];
学科分类号
070104 ;
摘要
Feedback stabilization for a class of second order singular distributed parameter system with multiinputs is discussed via functional analysis and operator theory in Hilbert space, the solutions of the problem and the constructive expressions of the solutions are given by the generalized inverse of bounded linear operator.This research is theoretically important for studying the stability of the singular distributed parameter system.
引用
收藏
页码:89 / 100
页数:12
相关论文
共 50 条
  • [41] Mild Solution and Uniform Exponential Stability of the Time Varying Singular Distributed Parameter Systems in Hilbert Space
    Ge Zhaoqiang
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 5778 - 5783
  • [42] ASYMPTOTIC BEHAVIOR FOR A GENERAL CLASS OF HOMOGENEOUS SECOND ORDER EVOLUTION EQUATIONS IN A HILBERT SPACE
    Rouhani, Behzad Djafari
    Khatibzadeh, Hadi
    DYNAMIC SYSTEMS AND APPLICATIONS, 2015, 24 (1-2): : 1 - 15
  • [43] FEEDBACK DESIGN OF DIFFERENTIAL EQUATIONS OF RECONSTRUCTION FOR SECOND-ORDER DISTRIBUTED PARAMETER SYSTEMS
    Maksimov, Vyacheslav I.
    Mordukhovich, Boris S.
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2017, 27 (03) : 467 - 475
  • [44] State feedback Control on Singular Distributed Parameter System with Parabolic-elliptic Type
    Jiang, Yushan
    Zhang, Qingling
    Li, Li
    PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 261 - 265
  • [45] Asymptotical stability by feedback control for a class of the first order singular control system
    Zhaoqiang Ge
    Xiaoyan Xu
    Guangtian Zhu
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 : 574 - 577
  • [46] Realization of a polylinear controller as a second-order differential system in a Hilbert space
    Lakeyev, A. V.
    Linke, Yu. E.
    Rusanov, V. A.
    DIFFERENTIAL EQUATIONS, 2017, 53 (08) : 1070 - 1081
  • [47] Realization of a polylinear controller as a second-order differential system in a Hilbert space
    A. V. Lakeyev
    Yu. E. Linke
    V. A. Rusanov
    Differential Equations, 2017, 53 : 1070 - 1081
  • [48] Stability of the Time Varying Singular Distributed Parameter Systems in Hilbert Spaces
    Ge Zhaoqiang
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 1499 - 1504
  • [49] Stabilization of bilinear control systems in Hilbert space with nonquadratic feedback
    Berrahmoune L.
    Rendiconti del Circolo Matematico di Palermo, 2009, 58 (2) : 275 - 282
  • [50] Stabilization of linear control systems in Hilbert space with nonlinear feedback
    Berrahmoune L.
    Rendiconti del Circolo Matematico di Palermo, 2005, 54 (2) : 273 - 290