Abstract
We investigate the exponential stability in the mean square sense for the systems with Markovian switching and impulse effects. Based on the statistic property of the Markov process, a stability criterion is established. Then, by the parameterizations via a family of auxiliary matrices, the dynamical output feedback controller can be solved via an LMI approach, which makes the closed-loop system exponentially stable. A numerical example is given to demonstrate the method.
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