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

Hong Shi; Guangming Xie; Wenguang Luo

doi:10.1155/2013/975461

Abstract and Applied Analysis (Jan 2013)

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

Hong Shi,
Guangming Xie,
Wenguang Luo

Affiliations

Hong Shi: Department of Mathematics and Physics, Beijing Institute of Petrochemical Technology, Beijing 102617, China
Guangming Xie: State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, China
Wenguang Luo: School of Electric and Information Engineering, Guangxi University of Science and Technology, Liuzhou 545006, China

DOI: https://doi.org/10.1155/2013/975461
Journal volume & issue: Vol. 2013

Abstract

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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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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