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

来源：

ActaMathematicaeApplicataeSinica | 2015年 / 31卷 / 01期

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

页码：89 / 100

页数：12

共 50 条

[21] Stability by Feedback of the Second Order Singular Distributed Parameter Systems Containing Infinite Many Poles
Liu, Feng
Shi, Guodong
Wu, Jianchun
COMPUTATIONAL COLLECTIVE INTELLIGENCE: TECHNOLOGIES AND APPLICATIONS, PT II, 2010, 6422 : 213 - +
[22] Feedback stabilization of a class of distributed parameter systems with control constraints
Achhab, ME
Laabissi, M
SYSTEMS & CONTROL LETTERS, 2002, 45 (03) : 163 - 171
[23] State feedback and pole assignment for a class of the second order coupled generalized distributed parameter systems
Zhaoqiang Ge
Guangtian Zhu
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 : 1 - 5
[24] Properties of Mild Solution for the First Order Inhomogeneous Time Varying Singular Distributed Parameter Systems in Hilbert Space
Lei Hang
Ge Zhaoqiang
2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 6443 - 6448
[25] Perturbation and robust controllability of singular distributed parameter control systems in Hilbert space
Zhaoqiang Ge Department of Applied Mathematics
Journal of Systems Engineering and Electronics, 2011, 22 (04) : 647 - 653
[26] Perturbation and robust controllability of singular distributed parameter control systems in Hilbert space
Ge, Zhaoqiang
JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2011, 22 (04) : 647 - 653
[27] Feedback stabilization of a class of nonlinear second-order systems
Pawel Skruch
Nonlinear Dynamics, 2010, 59 : 681 - 693
[28] Feedback stabilization of a class of nonlinear second-order systems
Skruch, Pawel
NONLINEAR DYNAMICS, 2010, 59 (04) : 681 - 693
[29] Second-order observer for a class of second-order distributed parameter systems
Nguyen, Tu Duc
Egeland, Olav
PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 3950 - 3955
[30] FEEDBACK STABILIZATION OF A CLASS OF MULTIVALUED NONLINEAR DISTRIBUTED PARAMETER-SYSTEMS
CHAN, WL
XIAO, MQ
ZHAO, Y
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 19 (10) : 911 - 921

← 1 2 3 4 5 →