Stability analysis of stochastic fractional-order competitive neural networks with leakage delay

被引:15
作者
Ali, M. Syed [1 ]
Hymavathi, M. [1 ]
Priya, Bandana [2 ]
Kauser, Syeda Asma [3 ]
Thakur, Ganesh Kumar [4 ]
机构
[1] Thiruvalluvar Univ, Dept Math, Vellore 632115, Tamil Nadu, India
[2] GL Bajaj Inst Technol & Management, Dept Appl Sci, Greater Noida, India
[3] Prince Sattam bin Abdulaziz Univ, Dept Math, Al Kharj, Saudi Arabia
[4] Krishna Engn Coll, Dept Appl Sci, Ghaziabad, Uttar Pradesh, India
来源
AIMS MATHEMATICS | 2021年 / 6卷 / 04期
关键词
fractional order; stochastic; competitive neural networks; leakage; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC STABILITY; EXPONENTIAL STABILITY; PERIODIC-SOLUTIONS; GLOBAL STABILITY; NEUTRAL-TYPE; TIME; DISCRETE; SYSTEMS; SYNCHRONIZATION;
D O I
10.3934/math.2021193
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article, we explore the stability analysis of stochastic fractional-order competitive neural networks with leakage delay. The main objective of this paper is to establish a new set of sufficient conditions, which is for the uniform stability in mean square of such stochastic fractional-order neural networks with leakage. Specifically, the presence and uniqueness of arrangements and stability in mean square for a class of stochastic fractional-order neural systems with delays are concentrated by using Cauchy-Schwartz inequality, Burkholder-Davis-Gundy inequality, Banach fixed point principle and stochastic analysis theory, respectively. Finally, four numerical recreations are given to confirm the hypothetical discoveries.
引用
收藏
页码:3205 / 3242
页数:38
相关论文
共 60 条
[1]   Stability Criteria for Stochastic Takagi-Sugeno Fuzzy Cohen-Grossberg BAM Neural Networks with Mixed Time-Varying Delays [J].
Ali, Muhammed Syed ;
Balasubramaniam, Pagavathigounder ;
Rihan, Fathalla A. ;
Lakshmanan, Shanmugam .
COMPLEXITY, 2016, 21 (05) :143-154
[2]   Stochastic Variance Models in Discrete Time with Feedforward Neural Networks [J].
Andoh, Charles .
NEURAL COMPUTATION, 2009, 21 (07) :1990-2008
[3]  
[Anonymous], 1972, Stochastic Differential Equations
[4]  
[Anonymous], 2007, BROWNIAN MOTION STOC, P451
[5]   Pseudo-Almost Periodic Solution on Time-Space Scales for a Novel Class of Competitive Neutral-Type Neural Networks with Mixed Time-Varying Delays and Leakage Delays [J].
Arbi, Adnene ;
Cao, Jinde .
NEURAL PROCESSING LETTERS, 2017, 46 (02) :719-745
[6]  
Arnold L., 1974, Stochastic Differential Equations: Theory and Applications
[7]   Robust stability analysis for discrete-time neural networks with time-varying leakage delays and random parameter uncertainties [J].
Banu, L. Jarina ;
Balasubramaniam, P. .
NEUROCOMPUTING, 2016, 179 :126-134
[8]  
Biagini F, 2008, PROBAB APPL SER, P1
[9]  
Butzer PL, 2001, INTRO FRACTIONAL CAL
[10]   Asymptotically almost periodic solutions of stochastic functional differential equations [J].
Cao, Junfei ;
Yang, Qigui ;
Huang, Zaitang ;
Liu, Qing .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (05) :1499-1511