Dissipativity Analysis for a Class of Discrete-Time Neutral Stochastic Nonlinear Systems with Time Delay

Shengchun Yu, Yanzhen Pang, Guici Chen, Xin Zhou and Shiping Wen

Discrete Dynamics in Nature and Society, 2021, vol. 2021, 1-17

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:9932134

DOI: 10.1155/2021/9932134

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