Controllability and observability of impulsive fractional linear time-invariant system

被引：36

作者：

Guo, Tian Liang ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230039, Anhui, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 64卷 / 10期

基金：

中国国家自然科学基金;

关键词：

IF-LTI system; Continuous LTI system; Controllability; Observability; DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; EXISTENCE;

D O I：

10.1016/j.camwa.2012.02.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the controllability and observability of impulsive fractional linear time-invariant (IF-LTI for short) system. Our main purpose is to built some necessary and sufficient conditions of controllability and observability for the IF-LTI system. At the same time, we establish some conclusions of controllability and observability for a continuous fractional LTI system, which is a special case of the IF-LTI system. Examples are given to illustrate our results. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：3171 / 3182

页数：12

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