Sampled-data control of Markov jump system via a fragmentation functional

Markovian jump systems is a most important mixed stochastic system in practice application,the sampled-data control problem of Markov jump system is studied in this paper.According to a continuous Markov jump system model and Lyapunov-Krasovskii stability theorem,the whole sampling interval is divided into four parts by introducing two adjustable parameters.Based on the four sampling intervals,two corresponding expressions of state space are proposed.Novel Lyapunov-Krasovskii functional which can fally use the status information of four frogmentation interual is built.then,using the integral inequality methods to estimate functional derivative,a new sampled-data control Markov jump system stability criterion is obtained.Finally,an example of a nonlinear mass spring damper system and an actual ship positioning system are given.After the establishment of simulation,the maximum sampling interval obtained is much larger than the results of similar literatures,indicating the superiority of the method.