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
[1]   Stability of stochastic delay neural networks [J].
Blythe, S ;
Mao, XR ;
Liao, XX .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2001, 338 (04) :481-495
[2]   A Delay-Dividing Approach to Robust Stability of Uncertain Stochastic Complex-Valued Hopfield Delayed Neural Networks [J].
Chanthorn, Pharunyou ;
Rajchakit, Grienggrai ;
Humphries, Usa ;
Kaewmesri, Pramet ;
Sriraman, Ramalingam ;
Lim, Chee Peng .
SYMMETRY-BASEL, 2020, 12 (05)
[3]   Robust Stability of Complex-Valued Stochastic Neural Networks with Time-Varying Delays and Parameter Uncertainties [J].
Chanthorn, Pharunyou ;
Rajchakit, Grienggrai ;
Thipcha, Jenjira ;
Emharuethai, Chanikan ;
Sriraman, Ramalingam ;
Lim, Chee Peng ;
Ramachandran, Raja .
MATHEMATICS, 2020, 8 (05)
[4]   Stability results for stochastic delayed recurrent neural networks with discrete and distributed delays [J].
Chen, Guiling ;
Li, Dingshi ;
Shi, Lin ;
van Gaans, Onno ;
Lunel, Sjoerd Verduyn .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 264 (06) :3864-3898
[5]   Robust stability analysis of quaternion-valued neural networks with time delays and parameter uncertainties [J].
Chen, Xiaofeng ;
Li, Zhongshan ;
Song, Qiankun ;
Hu, Jin ;
Tan, Yuanshun .
NEURAL NETWORKS, 2017, 91 :55-65
[6]  
Haykin S., 1994, Neural Networks, P936
[7]   An Extended Analysis on Robust Dissipativity of Uncertain Stochastic Generalized Neural Networks with Markovian Jumping Parameters [J].
Humphries, Usa ;
Rajchakit, Grienggrai ;
Sriraman, Ramalingam ;
Kaewmesri, Pramet ;
Chanthorn, Pharunyou ;
Lim, Chee Peng ;
Samidurai, Rajendran .
SYMMETRY-BASEL, 2020, 12 (06) :1-21
[8]   Stochastic Memristive Quaternion-Valued Neural Networks with Time Delays: An Analysis on Mean Square Exponential Input-to-State Stability [J].
Humphries, Usa ;
Rajchakit, Grienggrai ;
Kaewmesri, Pramet ;
Chanthorn, Pharunyou ;
Sriraman, Ramalingam ;
Samidurai, Rajendran ;
Lim, Chee Peng .
MATHEMATICS, 2020, 8 (05)
[9]   Global Stability Analysis of Fractional-Order Quaternion-Valued Bidirectional Associative Memory Neural Networks [J].
Humphries, Usa ;
Rajchakit, Grienggrai ;
Kaewmesri, Pramet ;
Chanthorn, Pharunyou ;
Sriraman, Ramalingam ;
Samidurai, Rajendran ;
Lim, Chee Peng .
MATHEMATICS, 2020, 8 (05)
[10]   Existence and Exponential Stability of Anti-Periodic Solutions for Inertial Quaternion-Valued High-Order Hopfield Neural Networks With State-Dependent Delays [J].
Huo, Nina ;
Li, Bing ;
Li, Yongkun .
IEEE ACCESS, 2019, 7 :60010-60019
1234