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Mathematical Problems in Engineering
Volume 2014, Article ID 579863, 6 pages
Research Article

Finite-Time Stability Analysis of Discrete-Time Linear Singular Systems

School of Electrical and Information Engineering, Jiangsu University of Technology, Changzhou, Jiangsu 213001, China

Received 23 October 2013; Accepted 24 December 2013; Published 9 January 2014

Academic Editor: Zhengguang Wu

Copyright © 2014 Songlin Wo and Xiaoxin Han. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The finite-time stability (FTS) problem of discrete-time linear singular systems (DTLSS) is considered in this paper. A necessary and sufficient condition for FTS is obtained, which can be expressed in terms of matrix inequalities. Then, another form of the necessary and sufficient condition for FTS is also given by using matrix-null space technology. In order to solve the stability problem expediently, a sufficient condition for FTS is given via linear matrix inequality (LMI) approach; this condition can be expressed in terms of LMIs. Finally, an illustrating example is also given to show the effectiveness of the proposed method.