This paper explores the delay dependent stochastic stabilization of Markovian jump neutral systems (MJNS) which are modeled by fractional Brownian motion(fBm) via a quantized controller. A function Round quantizer is introduced which solves the model uncertainties and the nonlinear part by a uniform operator. Then by structuring a Lyapunov–Krasovskii functional (LKF) and the aid of linear matrix inequalities (LMIs) method, a stochastic stability criterion is achieved. Last, different parameters are selected to simulate the effectiveness of our findings.

中文翻译：

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具有分数布朗运动和量化控制器的马尔可夫跳跃中性系统的随机镇定

本文探讨了马尔可夫跳跃中性系统 (MJNS) 的延迟相关随机稳定性，该系统通过量化控制器由分数布朗运动 (fBm) 建模。引入函数轮量化器，通过统一算子解决模型的不确定性和非线性部分。然后通过构造 Lyapunov-Krasovskii 泛函 (LKF) 并借助线性矩阵不等式 (LMIs) 方法，实现了随机稳定性准则。最后，选择不同的参数来模拟我们发现的有效性。