Stability and stabilization of continuous descriptor systems: An LMI approach

M. Chaabane, O. Bachelier, M. Souissi and D. Mehdi

Mathematical Problems in Engineering, 2006, vol. 2006, 1-15

Abstract:

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 admissibility problem is solved and the solution is extended to the case of uncertain descriptor systems. Finally, numerical examples are given to illustrate the results.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:039367

DOI: 10.1155/MPE/2006/39367

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