Controllability of Linear Discrete-Time Systems with Both Delayed States and Delayed Inputs-Reference-Cited by-同舟云学术

Controllability of Linear Discrete-Time Systems with Both Delayed States and Delayed Inputs

Published:2013 Issue: Volume:2013 Page:1-5
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Shi Hong¹,Xie Guangming²³^ORCID,Luo Wenguang⁴

Affiliation:

1. Department of Mathematics and Physics, Beijing Institute of Petrochemical Technology, Beijing 102617, China

2. State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, China

3. School of Electrical and Electronics Engineering, East China Jiaotong University, Nanchang 330013, China

4. School of Electric and Information Engineering, Guangxi University of Science and Technology, Liuzhou 545006, China

Abstract

The controllability issues for discrete-time linear systems with delay in state and control are addressed. By introducing a new concept, the controllability realization index (CRI), the characteristic of controllability is revealed. An easily testable necessary and sufficient condition for the controllability of discrete-time linear systems with state and control delay is established.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/975461.pdf

Reference10 articles.

1. Mathematical Control Theory

2. Some new interpretations of controllability and their practical implications

3. Relative and absolute controllability of discrete systems with delays in control

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