This study, under zero initial condition, aims to characterize the reachable set bound for a class of neutral Markovian jump systems (NMJSs) with interval time‐varying delays and bounded disturbances. To begin with, the time‐delays are considered to be mode‐dependent while delay mode and system mode are different. By utilizing free‐weighting matrix method and reciprocally convex combination technique, an ellipsoid‐like bound is characterized for the concerned NMJS with completely known transition probabilities. Based on the provided analytical framework, the case of same delay mode and system mode is also handled. Then, benefitting from a group of free‐connection weighting matrices, the reachable set estimation issue is tackled for the NMJS involving mode‐independent time‐varying delays and partially known transition probabilities. The theoretical analysis is confirmed by numerical simulations.

中文翻译：

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具有依赖于模式的时变时滞的中性马尔可夫跳跃系统的可到达集合估计

这项研究在零初始条件下，旨在刻画一类具有间隔时变时滞和有界扰动的中性马尔可夫跳跃系统（NMJS）的可达集界。首先，时间延迟被视为取决于模式，而延迟模式和系统模式则不同。通过使用自由加权矩阵方法和双向凸组合技术，以完全已知的转移概率为所关注的NMJS刻画出类似椭球的界。基于提供的分析框架，还可以处理相同延迟模式和系统模式的情况。然后，受益于一组自由连接加权矩阵，针对涉及模式无关的时变时延和部分已知的转移概率的NMJS，解决了可到达的集合估计问题。