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ISBN: 978-0-7695-3507-4
pp: 247-251
In this paper, the stability and state feedback stabilization problems of neutral type descriptor systems are considered. Some new delay-independent stability criterions are presented by employing the stability of a new operator  mathcal D, LMIs and Lyapunov stability theory. Based on the criterions, sufficient conditions are  derived such that  under suitable controller the corresponding closed-loop systems of the neutral type descriptor systems  are asymptotically stable.Furthermore, the stabilizing controller and robust stabilizing controller ( when there exist structure disturbance) for the neutral type descriptor system are also obtained. The   effectiveness of our result can be checked by Matlab LMI toolbox.
Qi-xun Lan, Chao-yi Feng, Jia-rong Liang, "State Feedback Stabilization of Neutral Type Descriptor Systems", CSIE, 2009, Computer Science and Information Engineering, World Congress on, Computer Science and Information Engineering, World Congress on 2009, pp. 247-251, doi:10.1109/CSIE.2009.125
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