An improved criterion on finite-time stability for fractional-order fuzzy cellular neural networks involving leakage and discrete delays

被引：14
作者：
Yang, Zhanying [1 ]
Zhang, Jie [2 ]
Zhang, Zhihui [1 ]
Mei, Jun [1 ]
机构：
[1] South Cent Minzu Univ, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
[2] Hubei Univ Automot Technol, Sch Math, Shiyan 442002, Hubei, Peoples R China
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2023年 / 203卷
关键词：
Fuzzy cellular neural networks; Finite -time stability; Leakage delay; Discrete delay; Integral inequality; INTEGRAL-INEQUALITIES; SYNCHRONIZATION; BIFURCATION; EQUATIONS;
D O I：
10.1016/j.matcom.2022.07.028
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper concentrates on the finite-time stability (FTS) for fractional-order fuzzy cellular neural networks involving leakage and discrete delays. We propose a method to develop a new FTS criterion which is a supplement to the research on stability for fractional-order systems. The proof mainly depends on a new Henry-Gronwall integral inequality (HGII) with two discrete delays. This inequality generalizes some known ones which have played a significant role in the analysis on fractional-order systems. Finally, we demonstrate the correctness and advantages of the obtained criterion by supplying some examples.(c) 2022 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：910 / 925
页数：16
相关论文
共 54 条
[21]   Synchronization of fractional fuzzy cellular neural networks with interactions [J].
Ma, Weiyuan ;
Li, Changpin ;
Wu, Yujiang ;
Wu, Yongqing .
CHAOS, 2017, 27 (10)
[22]   Adaptive control for fractional order induced chaotic fuzzy cellular neural networks and its application to image encryption [J].
Mani, Prakash ;
Rajan, Rakkiyappan ;
Shanmugam, Lakshmanan ;
Joo, Young Hoon .
INFORMATION SCIENCES, 2019, 491 :74-89
[23]   Generalized dissipativity state estimation for genetic regulatory networks with interval time -delay signals and leakage delays [J].
Manivannan, R. ;
Cao, Jinde ;
Chong, Kil To .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 89
[24]   Synchronization of uncertain fractional-order hyperchaotic systems by using a new self-evolving non-singleton type-2 fuzzy neural network and its application to secure communication [J].
Mohammadzadeh, Ardashir ;
Ghaemi, Sehraneh .
NONLINEAR DYNAMICS, 2017, 88 (01) :1-19
[25]  
Podlubny L., 1999, FRACTIONAL DIFFERENT
[26]   Dissipativity of impulsive matrix -valued neural networks with leakage delay and mixed delays [J].
Popa, Calin-Adrian .
NEUROCOMPUTING, 2020, 405 :85-95
[27]   Finite-Time Mittag-Leffler Stability of Fractional-Order Quaternion-Valued Memristive Neural Networks with Impulses [J].
Pratap, A. ;
Raja, R. ;
Alzabut, J. ;
Dianavinnarasi, J. ;
Cao, J. ;
Rajchakit, G. .
NEURAL PROCESSING LETTERS, 2020, 51 (02) :1485-1526
[28]   Further synchronization in finite time analysis for time-varying delayed fractional order memristive competitive neural networks with leakage delay [J].
Pratap, A. ;
Raja, R. ;
Cao, Jinde ;
Rajchakit, G. ;
Alsaadi, Fuad E. .
NEUROCOMPUTING, 2018, 317 :110-126
[29]   Mittag-Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field [J].
Pratap, Anbalagan ;
Raja, Ramachandran ;
Alzabut, Jehad ;
Cao, Jinde ;
Rajchakit, Grienggrai ;
Huang, Chuangxia .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (10) :6223-6253
[30]   Stability analysis of fractional order fuzzy cellular neural networks with leakage delay and time varying delays [J].
Singh, Ajendra ;
Rai, Jitendra Nath .
CHINESE JOURNAL OF PHYSICS, 2021, 73 :589-599
123456