Mean-square exponential input-to-state stability of stochastic quaternion-valued neural networks with time-varying delays

被引：7
作者：
Dai, Lihua [1 ,2 ]
Hou, Yuanyuan [2 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
[2] Puer Univ, Dept Math & Stat, Puer 665000, Yunnan, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
关键词：
Stochastic effects; Quaternion-valued neural networks; Exponential input-to-state stability; Lyapunov functional; DISCRETE;
D O I：
10.1186/s13662-021-03509-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we first consider the stability problem for a class of stochastic quaternion-valued neural networks with time-varying delays. Next, we cannot explicitly decompose the quaternion-valued systems into equivalent real-valued systems; by using Lyapunov functional and stochastic analysis techniques, we can obtain sufficient conditions for mean-square exponential input-to-state stability of the quaternion-valued stochastic neural networks. Our results are completely new. Finally, a numerical example is given to illustrate the feasibility of our results.
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页数：15
相关论文
共 35 条
[21]  
Rajchakit G, 2014, J COMPUT ANAL APPL, V16, P10
[22]   Dissipativity analysis of delayed stochastic generalized neural networks with Markovian jump parameters [J].
Rajchakit, Grienggrai ;
Sriraman, Ramalingam ;
Samidurai, Rajendran .
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2022, 23 (05) :661-684
[23]   Global Mittag-Leffler Stability and Stabilization Analysis of Fractional-Order Quaternion-Valued Memristive Neural Networks [J].
Rajchakit, Grienggrai ;
Chanthorn, Pharunyou ;
Kaewmesri, Pramet ;
Sriraman, Ramalingam ;
Lim, Chee Peng .
MATHEMATICS, 2020, 8 (03)
[24]   Global μ-stability of quaternion-valued neural networks with non-differentiable time-varying delays [J].
Shu, Hanqi ;
Song, Qiankun ;
Liu, Yurong ;
Zhao, Zhenjiang ;
Alsaadi, Fuad E. .
NEUROCOMPUTING, 2017, 247 :202-212
[25]   Discrete-Time Stochastic Quaternion-Valued Neural Networks with Time Delays: An Asymptotic Stability Analysis [J].
Sriraman, Ramalingam ;
Rajchakit, Grienggrai ;
Lim, Chee Peng ;
Chanthorn, Pharunyou ;
Samidurai, Rajendran .
SYMMETRY-BASEL, 2020, 12 (06)
[26]   Global dissipativity analysis for delayed quaternion-valued neural networks [J].
Tu, Zhengwen ;
Cao, Jinde ;
Alsaedi, Ahmed ;
Hayat, Tasawar .
NEURAL NETWORKS, 2017, 89 :97-104
[27]   Global stability of stochastic high-order neural networks with discrete and distributed delays [J].
Wang, Zidong ;
Fang, Jian'an ;
Liu, Xiaohui .
CHAOS SOLITONS & FRACTALS, 2008, 36 (02) :388-396
[28]   Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays [J].
Wang, Zidong ;
Liu, Yurong ;
Fraser, Karl ;
Liu, Xiaohui .
PHYSICS LETTERS A, 2006, 354 (04) :288-297
[29]  
WONG E, 1991, ALGORITHMICA, V6, P466, DOI 10.1007/BF01759054
[30]   Exponential Stability on Stochastic Neural Networks With Discrete Interval and Distributed Delays [J].
Yang, Rongni ;
Zhang, Zexu ;
Shi, Peng .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (01) :169-175
1234