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Journal of Applied Mathematics
Volume 2014, Article ID 265601, 15 pages
Research Article

Eliminating Impulse for Descriptor System by Derivative Output Feedback

1Institute of Systems Science, Northeastern University, Shenyang, Liaoning 110819, China
2Department of Mathematics, Air Force Logistics College, Xuzhou, Jiangsu 221000, China

Received 20 November 2013; Revised 6 February 2014; Accepted 7 February 2014; Published 20 May 2014

Academic Editor: Mark A. Petersen

Copyright © 2014 Jian 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.


The problem of impulse elimination for descriptor system by derivative output feedback is investigated in this paper. Based on a novelly restricted system equivalence between matrix pencils, the range of dynamical order of the resultant closed loop descriptor system is given. Then, for the different dynamical order, sufficient conditions for the existence of derivative output feedback to ensure the resultant closed loop system to be impulse free are derived, and the corresponding derivative output feedback controllers are provided. Finally, simulation examples are given to show the consistence with the theoretical results obtained in this paper.