Reachable set estimation of delayed Markovian jump neural networks based on an augmented zero equality approach

被引：0

作者：

Kim, S. H. ^{[1
]}

Kim, Y. J. ^{[2
]}

Lee, S. H. ^{[3
]}

Kwon, O. M. ^{[2
]}

机构：

[1] Korea Elect Power Corp Res Inst, Power Syst Lab, Taejon 305760, South Korea

[2] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 28644, South Korea

[3] Natl Korea Maritime & Ocean Univ, Div Elect & Elect Informat Engn, Busan 49112, South Korea

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2025年 / 46卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Markovian jump; neural networks; reachable set; time-varying delays; zero equality; STABILITY ANALYSIS; LINEAR-SYSTEMS; TIME;

D O I：

10.1002/oca.3206

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article suggests the methods to estimate the reachable set of Markovian jump neural networks (MJNNs) with time-varying delays. By building up improved Lyapunov-Krasovskii functionals, the conditions that have less conservatism for the delay-dependent can be obtained. Integral inequalities are employed to estimate the reachable set of MJNNs, resulting in more effective and conservative outcomes regarding time delays. Moreover, some mathematical techniques, the augmented zero equality approach, improve the results and eliminated the free variables. Two numerical examples and figures demonstrated that the proposed method was effective and provided less conservative results than previous research. This paper suggests the methods to estimate the reachable set of Markovian jump neural networks (MJNNs) with time-varying delays. By building up improved Lyapunov-Krasovskii functionals, conditions with less conservatism for the delay-dependent can be obtained. Integral inequalities and some mathematical techniques are employed to estimate the reachable set of MJNNs, resulting in more effective and conservative outcomes regarding time delays. image

引用

页码：215 / 230

页数：16

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