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Mathematical Problems in Engineering - Volume 2015 2015, Article ID 837053, 10 pages -

Research Article

College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, Shandong 266590, China

College of Information and Control Engineering, China University of Petroleum East China, Qingdao, Shandong 266590, China

College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, China

Received 3 February 2015; Accepted 30 March 2015

Academic Editor: Ruihua Liu

Copyright © 2015 Yan Li 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 studies the index problem. We obtain a necessary and sufficient condition of index larger than . A generalized differential equation is introduced and it is proved that its solvability and the feasibility of the index are equivalent. We extend the deterministic cases to the stochastic models. Our results can be used to fault detection filter analysis. Finally, the effectiveness of the proposed results is illustrated by an example.





Autor: Yan Li, Tianliang Zhang, Xikui Liu, and Xiushan Jiang

Fuente: https://www.hindawi.com/



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