Controllability analysis of linear time-varying systems with multiple time delays and impulsive effects

被引：15
|
作者：
Liu, Yang [1 ]
Zhao, Shouwei [2 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[2] Shanghai Univ Engn Sci, Sch Fundamental Studies, Shanghai 201620, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 02期
关键词：
Time-varying impulsive system; Time delay; Controllability; DIFFERENTIAL-EQUATIONS; NULL CONTROLLABILITY; INPUT DELAYS; OBSERVABILITY; REACHABILITY;
D O I：
10.1016/j.nonrwa.2011.07.038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the issue of controllability for linear time-varying systems with multiple time delays in the control and impulsive effects is addressed. The solution of such systems based on the variation of parameters is derived. Several sufficient and necessary algebraic conditions for two kinds of controllability, i.e., controllability to the origin and controllability, are derived. The relation among these conditions are established. A numerical example is provided to illustrate the effectiveness of the proposed methods. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：558 / 568
页数：11
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