Stability of quaternion-valued neutral-type neural networks with leakage delay and proportional delays

被引：28

作者：

Song, Qiankun ^{[1
]}

Yang, Linji ^{[1
]}

Liu, Yurong ^{[2
,3
]}

Alsaadi, Fuad E. ^{[4
]}

机构：

[1] Chongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China

[2] Yangzhou Univ, Dept Math, Yangzhou 225002, Peoples R China

[3] Yancheng Inst Technol, Sch Math & Phys, Yancheng 224051, Peoples R China

[4] King Abdulaziz Univ, Fac Engn, Dept Elect & Comp Engn, Commun Syst & Networks CSN Res Grp, Jeddah 21589, Saudi Arabia

来源：

NEUROCOMPUTING | 2023年 / 521卷

基金：

中国国家自然科学基金;

关键词：

Quaternion-valued neural networks; Stability; Neutral delay; Proportional delays; Leakage delay; INFINITY STATE ESTIMATION; GLOBAL EXPONENTIAL STABILITY; FINITE-TIME STABILITY; ASYMPTOTIC STABILITY; ROBUST STABILITY; VARYING DELAYS; DISCRETE; CRITERIA;

D O I：

10.1016/j.neucom.2022.12.009

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper is concerned with the stability issue of quaternion-valued neural networks with neutral delay, proportional delay and leakage delay. Taking use of the principle of homeomorphism, techniques of matrix inequality and Lyapunov stability theory, a main stability criterion is derived in the form of quaternion-valued linear matrix inequality for ensuring the unique existence and global stability of the equilibrium point for the considered quaternion-valued neural networks. An illustrative example and its simulations are given to show the effectiveness of the theoretical result. (c) 2022 Elsevier B.V. All rights reserved.

引用

页码：191 / 198

页数：8

共 46 条

[1] Finite Time Stability Analysis of Fractional-Order Complex-Valued Memristive Neural Networks with Proportional Delays [J].

Ali, M. Syed ;

Narayanan, G. ;

Orman, Zeynep ;

Shekher, Vineet ;

Arik, Sabri .

NEURAL PROCESSING LETTERS, 2020, 51 (01) :407-426

[2] Finite-time stability for memristor based switched neural networks with time-varying delays via average dwell time approach [J].

Ali, M. Syed ;

Saravanan, S. .

NEUROCOMPUTING, 2018, 275 :1637-1649

[3] Global exponential convergence of neutral-type competitive neural networks with multi-proportional delays, distributed delays and time-varying delay in leakage delays [J].

Aouiti, Chaouki ;

Assali, El abed ;

Cao, Jinde ;

Alsaedi, Ahmed .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (10) :2202-2214

[4] New Criteria for Stability of Neutral-Type Neural Networks With Multiple Time Delays [J].

Arik, Sabri .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2020, 31 (05) :1504-1513

[5] Global robust asymptotic stability analysis of uncertain switched Hopfield neural networks with time delay in the leakage term [J].

Balasubramaniam, P. ;

Vembarasan, V. ;

Rakkiyappan, R. .

NEURAL COMPUTING & APPLICATIONS, 2012, 21 (07) :1593-1616

[6] Robust stability analysis for discrete-time uncertain neural networks with leakage time-varying delay [J].

Banu, L. Jarina ;

Balasubramaniam, P. ;

Ratnavelu, K. .

NEUROCOMPUTING, 2015, 151 :808-816

[7] Global Mittag-Leffler stability for fractional-order quaternion-valued neural networks with piecewise constant arguments and impulses [J].

Chen, Yanxi ;

Song, Qiankun ;

Zhao, Zhenjiang ;

Liu, Yurong ;

Alsaadi, Fuad E. .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2022, 53 (08) :1756-1768

[8] Synchronization Control for Discrete-Time-Delayed Dynamical Networks With Switching Topology Under Actuator Saturations [J].

Chen, Yonggang ;

Wang, Zidong ;

Hu, Jun ;

Han, Qing-Long .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2021, 32 (05) :2040-2053

[9] Global asymptotic and robust stability of inertial neural networks with proportional delays [J].

Cui, Na ;

Jiang, Haijun ;

Hu, Cheng ;

Abdurahman, Abdujelil .

NEUROCOMPUTING, 2018, 272 :326-333

[10] An improved Lyapunov functional with application to stability of Cohen-Grossberg neural networks of neutral-type with multiple delays [J].

Faydasicok, Ozlem .

NEURAL NETWORKS, 2020, 132 :532-539

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