
doi: 10.1002/rnc.4351
SummaryIn this paper, the problem of mean square exponential stabilization for sampled‐data Markovin jump systems is studied. A time‐scheduled Lyapunov functional consisting of a exponential‐type looped function is constructed using segmentation technology and linear interpolation. Based on this new Lyapunov functional, a less conservative mean square exponential stability criterion is obtained such that a bigger maximum decay rate can be easily calculated. Meanwhile, the quantitative relationship among some system parameters, maximum sampling period, and decay rate is established. Moreover, a time‐dependent state feedback sample‐data controller is designed. Significant improvements of the proposed exponential‐type time‐scheduled Lyapunov functional method over some existing ones are verified by numerical examples.
Sampled-data control/observation systems, Asymptotic stability in control theory, sampled-data control, time-scheduled Lyapunov functional, Markovian jump system, Stochastic stability in control theory, Feedback control, Jump processes, mean square exponential stabilization
Sampled-data control/observation systems, Asymptotic stability in control theory, sampled-data control, time-scheduled Lyapunov functional, Markovian jump system, Stochastic stability in control theory, Feedback control, Jump processes, mean square exponential stabilization
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