Finite-Time and Fixed-Time Synchronization of Inertial Cohen-Grossberg-Type Neural Networks with Time Varying Delays

被引:39
作者
Aouiti, Chaouki [1 ]
Assali, El Abed [1 ]
El Foutayeni, Youssef [2 ]
机构
[1] Univ Carthage, Fac Sci Bizerta, Dept Math, UR13ES47 Res Units Math & Applicat, Bizerte 7021, Tunisia
[2] Hassan II Univ Casablanca, Anal Modeling & Simulat Lab, Casablanca, Morocco
关键词
Inertial Cohen-Grossberg-type; Neural networks; Finite-time synchronization; Fixed-time synchronization; Time-varying delays; GLOBAL EXPONENTIAL STABILITY; MIXED DELAYS; SYSTEMS; STABILIZATION;
D O I
10.1007/s11063-019-10018-8
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper is devoted to studying the finite-time and fixed-time of inertial Cohen-Grossberg type neural networks (ICGNNs) with time varying delays. First, by constructing a proper variable substitution, the original (ICGNNs) can be rewritten as first-order differential system. Second, by utilizing feedback controllers and constructing suitable Lyapunov functionals, several new sufficient conditions guaranteeing the finite-time and the fixed-time synchronization of ICGNNs with time varying delays are obtained based on different finite-time synchronization analysis techniques. The obtained sufficient conditions are simple and easy to verify. Numerical simulations are given to illustrate the effectiveness of the theoretical results.
引用
收藏
页码:2407 / 2436
页数:30
相关论文
共 66 条
[11]   Global synchronization in an array of delayed neural networks with hybrid coupling [J].
Cao, Jinde ;
Chen, Guanrong ;
Li, Ping .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (02) :488-498
[12]   Global asymptotical stability of recurrent neural networks with multiple discrete delays and distributed delays [J].
Cao, Jinde ;
Yuan, Kun ;
Li, Han-Xiong .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2006, 17 (06) :1646-1651
[13]   Stability in Cohen-Grossberg-type bidirectional associative memory neural networks with time-varying delays [J].
Cao, Jinde ;
Song, Qiankun .
NONLINEARITY, 2006, 19 (07) :1601-1617
[14]   Fixed-time synchronization of delayed memristor-based recurrent neural networks [J].
Cao, Jinde ;
Li, Ruoxia .
SCIENCE CHINA-INFORMATION SCIENCES, 2017, 60 (03)
[15]   Finite-time synchronization of memristor-based neural networks with mixed delays [J].
Chen, Chuan ;
Li, Lixiang ;
Peng, Haipeng ;
Yang, Yixian ;
Li, Tao .
NEUROCOMPUTING, 2017, 235 :83-89
[16]   Stability of Cohen-Grossberg neural networks with nonnegative periodic solutions [J].
Chen, Tianping ;
Bai, Yanchun .
2007 IEEE INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS, VOLS 1-6, 2007, :242-247
[17]   ABSOLUTE STABILITY OF GLOBAL PATTERN-FORMATION AND PARALLEL MEMORY STORAGE BY COMPETITIVE NEURAL NETWORKS [J].
COHEN, MA ;
GROSSBERG, S .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1983, 13 (05) :815-826
[18]   Synchronization for complex dynamical networks with time delay and discrete-time information [J].
Fang, Mei .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 258 :1-11
[19]   A new switching control for finite-time synchronization of memristor-based recurrent neural networks [J].
Gao, Jie ;
Zhu, Peiyong ;
Alsaedi, Ahmed ;
Alsaadi, Fuad E. ;
Hayat, Tasawar .
NEURAL NETWORKS, 2017, 86 :1-9
[20]   FINITE-TIME CONTROLLERS [J].
HAIMO, VT .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (04) :760-770