Extended dissipativity synchronization for Markovian jump recurrent neural networks via memory sampled-data control and its application to circuit theory

被引:8
作者
Anbuvithya, R. [1 ]
Sri, S. Dheepika [1 ]
Vadivel, R. [2 ]
Hammachukiattikul, P. [2 ]
Park, Choonkil [3 ]
Nallappan, Gunasekaran [4 ]
机构
[1] Sri Sarada Coll Women Autonomous, Dept Math, Salem 636016, India
[2] Phuket Rajabhat Univ, Fac Sci & Technol, Dept Math, Phuket 83000, Thailand
[3] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea
[4] Toyota Technol Inst, Intelligence Lab, Nagoya, Aichi 4688511, Japan
来源
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2022年 / 13卷 / 01期
关键词
Extended Dissipativity; Markovian Jump Recurrent Neural Networks; Memory sampled - data control; Synchronization; TIME-VARYING DELAYS; STABILITY ANALYSIS; EXPONENTIAL STABILITY;
D O I
10.22075/ijnaa.2021.25114.2919
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The problem of synchronization with extended dissipativity for Markovian Jump Recurrent Neural Networks (MJRNNs) is investigated. For MJRNNs, a new memory sampled - data extended dissipative control approach is suggested here. Some sufficient conditions in terms of Linear Matrix Inequalities (LMIs) are acquired by suitably establishing a relevant Lyapunov - Krasovskii functional (LKF), wherein the master and the slave system of MJRNNs are quadratically stable. At last, a nu-merical section is provided, along with one of the applications in circuit theory that clearly illustrates the efficacy of the proposed method's performance.
引用
收藏
页码:2801 / 2820
页数:20
相关论文
共 40 条
[1]   State estimation for T-S fuzzy Hopfield neural networks via strict output passivation of the error system [J].
Ahn, Choon Ki .
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2013, 42 (05) :503-518
[2]   Extended dissipativity and event-triggered synchronization for T-S fuzzy Markovian jumping delayed stochastic neural networks with leakage delays via fault-tolerant control [J].
Ali, M. Syed ;
Vadivel, R. ;
Alsaedi, Ahmed ;
Ahmad, Bashir .
SOFT COMPUTING, 2020, 24 (05) :3675-3694
[3]   Design of passivity and passification for delayed neural networks with Markovian jump parameters via non-uniform sampled-data control [J].
Ali, M. Syed ;
Gunasekaran, N. ;
Saravanakumar, R. .
NEURAL COMPUTING & APPLICATIONS, 2018, 30 (02) :595-605
[4]   Decentralized Event-Triggered Exponential Stability for Uncertain Delayed Genetic Regulatory Networks with Markov Jump Parameters and Distributed Delays [J].
Ali, M. Syed ;
Vadivel, R. .
NEURAL PROCESSING LETTERS, 2018, 47 (03) :1219-1252
[5]   Robust stability of hopfield delayed neural networks via an augmented L-K functional [J].
Ali, M. Syed ;
Gunasekaran, N. ;
Rani, M. Esther .
NEUROCOMPUTING, 2017, 234 :198-204
[6]   Finite time decentralized event-triggered communication scheme for neutral-type Markovian jump neural networks with time varying delays [J].
Ali, Syed ;
Vadivel, R. ;
Murugan, Kadarkarai .
CHINESE JOURNAL OF PHYSICS, 2018, 56 (05) :2448-2464
[7]   Extended Dissipativity and Non-Fragile Synchronization for Recurrent Neural Networks With Multiple Time-Varying Delays via Sampled-Data Control [J].
Anbuvithya, R. ;
Sri, S. Dheepika ;
Vadivel, R. ;
Gunasekaran, Nallappan ;
Hammachukiattikul, Porpattama .
IEEE ACCESS, 2021, 9 :31454-31466
[8]   An improved robust stability result for uncertain neural networks with multiple time delays [J].
Arik, Sabri .
NEURAL NETWORKS, 2014, 54 :1-10
[9]   HOW DELAYS AFFECT NEURAL DYNAMICS AND LEARNING [J].
BALDI, P ;
ATIYA, AF .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 1994, 5 (04) :612-621
[10]   Almost periodic attractor of delayed neural networks with variable coefficients [J].
Cao, JD ;
Chen, AP ;
Huang, X .
PHYSICS LETTERS A, 2005, 340 (1-4) :104-120