Stability Analysis of Markov Jump Neural Networks With Mixed Delays in Finite Frequency Domain Based on PDC Controller

被引：1

作者：

Xu, Nuo ^{[1
]}

Sun, Liankun ^{[1
,2
]}

机构：

[1] Tianjin Polytech Univ, Sch Comp Sci & Technol, Tianjin 300387, Peoples R China

[2] Tianjin Polytech Univ, Tianjin Key Lab Autonomous Intelligence Technol &, Tianjin 300387, Peoples R China

来源：

IEEE ACCESS | 2019年 / 7卷

基金：

中国国家自然科学基金;

关键词：

Mixed Time-varying-delayed; Markov jumping neural network; linear matrix inequalities; finite frequency; PDC controller; TIME; SYSTEMS; SYNCHRONIZATION; STABILIZATION; DESIGN;

D O I：

10.1109/ACCESS.2019.2941976

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the stability of Markov jumping neural network (MJNN) with mixed delays under the control of finite frequency domain Parallel Distributed Compensation (PDC) controller is studied. By introducing the generalized-KYP lemma, the frequency domain analysis is combined with the neural network. The positive definite and negative definite conditions in Lyapunov stability theory are improved by using Bessel-Legendre inequality method. Sufficient conditions for the stability of the system are given and proved. Finally, numerical examples show that the system can maintain stability under the control of the PDC controller at low, medium and high frequencies.

引用

页码：143282 / 143292

页数：11

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