On Estimating the Reachable Set of Neutral Markovian Jump Systems with Interval Time-Varying Delays

For a neutral delayed system subject to Markovian jump structures, this research attempts to constrain its all reachable states. Given the assumption on zero initial states, the objective is to specify an ellipsoid-like bound which contains all state trajectories of the NMJSs with bounded disturbances. The values of the transition probabilities are completely accessible. To begin with, a Lyapunov-Krasovskii functional (LKF) can be carefully chosen in an original form by making full use of delay characteristics and Markovian jump structures. Subsequently, to precisely possible estimate the chosen LKF's time-derivative, reciprocally convex combination method and Wirtinger-based integral inequality technique are promisingly exploited. In addition, the conservatism is further reduced in light of the introduced free-weighting matrices. Finally, the confirmation of the theoretical result is given by a simulation.