## Journal of Applied Mathematics

### Eliminating Impulse for Descriptor System by Derivative Output Feedback

#### Abstract

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.

#### Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 265601, 15 pages.

Dates
First available in Project Euclid: 2 March 2015

https://projecteuclid.org/euclid.jam/1425305777

Digital Object Identifier
doi:10.1155/2014/265601

Mathematical Reviews number (MathSciNet)
MR3214501

#### Citation

Li, Jian; Teng, Yufa; Zhang, Qingling; Li, Jinghao; Qiao, Liang. Eliminating Impulse for Descriptor System by Derivative Output Feedback. J. Appl. Math. 2014 (2014), Article ID 265601, 15 pages. doi:10.1155/2014/265601. https://projecteuclid.org/euclid.jam/1425305777

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