Exponential Stabilization of Stochastic Memristive Recurrent Neural Networks Under Periodically Intermittent State Feedback Control

被引:7
作者
Li, Xiaofan [1 ,2 ]
Fang, Jian-an [2 ]
Li, Huiyuan [2 ]
机构
[1] Yancheng Inst Technol, Sch Elect Engn, Yancheng 224051, Jiangsu, Peoples R China
[2] Donghua Univ, Sch Informat Sci & Technol, Shanghai 201620, Peoples R China
关键词
Memristive neural networks; exponential stabilization; stochastic perturbations; intermittent control; SYNCHRONIZATION; STABILITY;
D O I
10.1002/asjc.1952
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, the exponential stabilization problem is investigated for a class of memristive time-varying delayed neural networks with stochastic disturbance via periodically intermittent state feedback control. First, a periodically intermittent state feedback control rule is designed for the exponential stabilization of stochastic memristive time-varying delayed neural networks. Then, by adopting appropriate Lyapunov-Krasovskii functionals in light of the Lyapunov stability theory, some novel stabilization criteria are obtained to guarantee exponential stabilization of stochastic memristive time-varying delayed neural networks via periodically intermittent state feedback control. Compared with existing results on stabilization of stochastic memristive time-varying delayed neural networks, the obtained stabilization criteria in this paper are not difficult to verify. Finally, an illustrative example is given to illustrate the validity of the obtained results.
引用
收藏
页码:897 / 907
页数:11
相关论文
共 24 条
[1]   A Circuit-Based Learning Architecture for Multilayer Neural Networks With Memristor Bridge Synapses [J].
Adhikari, Shyam Prasad ;
Kim, Hyongsuk ;
Budhathoki, Ram Kaji ;
Yang, Changju ;
Chua, Leon O. .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2015, 62 (01) :215-223
[2]   Neural Learning Circuits Utilizing Nano-Crystalline Silicon Transistors and Memristors [J].
Cantley, Kurtis D. ;
Subramaniam, Anand ;
Stiegler, Harvey J. ;
Chapman, Richard A. ;
Vogel, Eric M. .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2012, 23 (04) :565-573
[3]   CELLULAR NEURAL NETWORKS - THEORY [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272
[4]   MEMRISTOR - MISSING CIRCUIT ELEMENT [J].
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+
[5]   NEURONS WITH GRADED RESPONSE HAVE COLLECTIVE COMPUTATIONAL PROPERTIES LIKE THOSE OF 2-STATE NEURONS [J].
HOPFIELD, JJ .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA-BIOLOGICAL SCIENCES, 1984, 81 (10) :3088-3092
[6]   3D Convolutional Neural Networks for Human Action Recognition [J].
Ji, Shuiwang ;
Xu, Wei ;
Yang, Ming ;
Yu, Kai .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2013, 35 (01) :221-231
[7]   The Desired Memristor for Circuit Designers [J].
Kvatinsky, Shahar ;
Friedman, Eby G. ;
Kolodny, Avinoam ;
Weiser, Uri C. .
IEEE CIRCUITS AND SYSTEMS MAGAZINE, 2013, 13 (02) :17-22
[8]   Stability analysis of reaction-diffusion uncertain memristive neural networks with time-varying delays and leakage term [J].
Li, Ruoxia ;
Cao, Jinde .
APPLIED MATHEMATICS AND COMPUTATION, 2016, 278 :54-69
[9]   Exponential Synchronization of Memristive Chaotic Recurrent Neural Networks Via Alternate Output Feedback Control [J].
Li, Xiaofan ;
Fang, Jian-an ;
Li, Huiyuan .
ASIAN JOURNAL OF CONTROL, 2018, 20 (01) :469-482
[10]   Exponential stabilisation of stochastic memristive neural networks under intermittent adaptive control [J].
Li, Xiaofan ;
Fang, Jian-an ;
Li, Huiyuan .
IET CONTROL THEORY AND APPLICATIONS, 2017, 11 (15) :2432-2439