Stability and stabilization of continuous descriptor systems: An LMI approach

By Mohamed Chaabane, Olivier Bachelier, Mansour Souissi, Driss Mehdi. 2006

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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 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.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/13fa6a06620ffcc7041d404af793d2478825d1d3