STABILITY AND STABILIZATION OF CONTINUOUS DESCRIPTOR SYSTEMS: AN LMI APPROACH

M. CHAABANE; O. BACHELIER; M. SOUISSI; D. MEHDI

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STABILITY AND STABILIZATION OF CONTINUOUS DESCRIPTOR SYSTEMS: AN LMI APPROACH

机译：连续描述符系统的稳定性和稳定性：一种LMI方法

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This paper deals with the problems of robust stability and stabilization for uncertain continuous descriptor systems. We propose a new necessary and sufficient condition in terms of a strict linear matrix inequality (LMI) for a nominal continuous descriptor system to be admissible (stable, regular, and impulse-free). Based on this, the state-feedback admis-sibility problem is solved and the solution is extended to the case of uncertain descriptor systems. Finally, numerical examples are given to illustrate the results.

机译：本文研究了不确定连续描述符系统的鲁棒稳定性和稳定性问题。我们针对严格的线性矩阵不等式（LMI）提出了一个新的充要条件，使名义上的连续描述符系统可被接受（稳定，规则和无脉冲）。基于此，解决了状态反馈可容许性问题，并将解决方案扩展到不确定描述符系统的情况。最后，通过数值例子说明了结果。

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来源
《Mathematical Problems in Engineering》 |2006年第4期|p.7.1-7.15|共15页
作者
M. CHAABANE; O. BACHELIER; M. SOUISSI; D. MEHDI;
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作者单位

Automatic Control Unit, Sfax Preparatory Institute for Engineering Studies (IPEIS), Sfax University, BP 805, 3018 Sfax, Tunisia;

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正文语种 eng
中图分类工程数学;
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STABILITY AND STABILIZATION OF CONTINUOUS DESCRIPTOR SYSTEMS: AN LMI APPROACH

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