Synchronization in Finite-Time Analysis of Clifford-Valued Neural Networks with Finite-Time Distributed Delays

被引:36
|
作者
Rajchakit, Grienggrai [1 ]
Sriraman, Ramalingam [2 ]
Lim, Chee Peng [3 ]
Sam-ang, Panu [4 ]
Hammachukiattikul, Porpattama [5 ]
机构
[1] Maejo Univ, Fac Sci, Dept Math, Chiang Mai 50290, Thailand
[2] Thiruvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India
[3] Deakin Univ, Inst Intelligent Syst Res & Innovat, Waurn Ponds, Vic 3216, Australia
[4] Suranaree Univ Technol, Sch Math, Inst Sci, Nakhon Ratchasima 30000, Thailand
[5] Phuket Rajabhat Univ, Fac Sci & Technol, Dept Math, Phuket 83000, Thailand
关键词
Clifford-valued neural network; finite-time synchronization; distributed delay; Lyapunov-Krasovskii fractional; GLOBAL EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; DISCRETE;
D O I
10.3390/math9111163
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we explore the finite-time synchronization of Clifford-valued neural networks with finite-time distributed delays. To address the problem associated with non-commutativity pertaining to the multiplication of Clifford numbers, the original n-dimensional Clifford-valued drive and response systems are firstly decomposed into the corresponding 2(m)-dimensional real-valued counterparts. On the basis of a new Lyapunov-Krasovskii functional, suitable controller and new computational techniques, finite-time synchronization criteria are formulated for the corresponding real-valued drive and response systems. The feasibility of the main results is verified by a numerical example.
引用
收藏
页数:18
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