This paper focuses on the problem of dissipativity analysis for a class of discrete-time neutral stochastic nonlinear systems (DTNSNSs) with time delay and parameter uncertainties. Different from the existing results on this topic of neutral system, a kind of discretizing the neutral system is considered. Firstly, a sufficient condition of the dissipativity, which is dependent on the solution of the Lyapunov–Krasovskii technique and linear matrix inequalities (LMIs), is established. Moreover, the state-feedback controller is designed to guarantee the dissipative performance of the closed-loop system. The effectiveness of the theoretical results is finally demonstrated by a numerical example.

中文翻译：

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一类具有时滞的离散时间中性随机非线性系统的耗散分析

本文重点研究一类具有时滞和参数不确定性的离散时间中性随机非线性系统(DTNSNSs)的耗散分析问题。与现有关于中性系统这一主题的结果不同，考虑了一种离散化中性系统。首先，建立了依赖于 Lyapunov-Krasovskii 技术和线性矩阵不等式 (LMI) 解的耗散性的充分条件。此外，状态反馈控制器旨在保证闭环系统的耗散性能。最后通过数值算例证明了理论结果的有效性。