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Mathematical Problems in Engineering
Volume 2015, Article ID 591854, 12 pages
http://dx.doi.org/10.1155/2015/591854
Research Article

Output Strictly Passive Control of Uncertain Singular Neutral Systems

1Institute of Systems Science, Northeastern University, Shenyang, Liaoning 110004, China
2College of Science, Liaoning University of Technology, Jinzhou, Liaoning 121001, China
3Information Science and Engineering School, Northeastern University, Shenyang 110004, China

Received 18 July 2014; Accepted 23 September 2014

Academic Editor: Xi-Ming Sun

Copyright © 2015 Jichun Wang et al. 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.

Abstract

This paper concerns the problem of output strictly passive control for uncertain singular neutral systems. It introduces a new effective criterion to study the passivity of singular neutral systems. Compared with the previous approach, this criterion has no equality constraints. And the state feedback controller is designed so that the uncertain singular neutral systems are output strictly passive. In terms of a linear matrix inequality (LMI) and Lyapunov function, the strictly passive criterion is formulated. And the desired passive controller is given. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed approach.