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On stability and stabilisation of continuoustime singular markovian switching systems

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1 Author(s)
Boukas, E.K. ; Mech. Eng. Dept., Ecole Polytech. de Montreal, Montreal, QC

The class of continuous-time singular linear systems with Markovian switching is presented. Under full and partial knowledge of the jump rates of the continuous-time Markov process sufficient conditions in the linear matrix inequality setting for the system to be piecewise regular, impulse-free and stochastically stable are developed. A state feedback controller that makes the closed-loop system piecewise regular, impulse-free and stochastically stable is also designed. Full and partial knowledge of the jump rates are considered. Numerical examples are proposed to show the validness of the developed results.

Published in:

Control Theory & Applications, IET  (Volume:2 ,  Issue: 10 )