Exponential Stabilization of Fuzzy Memristive Neural Networks With Hybrid Unbounded Time-Varying Delays

被引:77
作者
Sheng, Yin [1 ]
Lewis, Frank L. [2 ]
Zeng, Zhigang [1 ]
机构
[1] Huazhong Univ Sci & Technol, Sch Automat, Guangdong HUST Ind Technol Res Inst, Guangdong Prov Key Lab Digital Mfg Equipment,Key, Wuhan 430074, Hubei, Peoples R China
[2] Univ Texas Arlington, UTA Res Inst, Arlington, TX 76118 USA
关键词
Exponential stabilization; hybrid unbounded time delays; memristive neural networks (MNNs); Takagi-Sugeno; (T-S) fuzzy logics; DIRICHLET BOUNDARY-CONDITIONS; IMPULSIVE SYNCHRONIZATION; DYNAMICAL NETWORKS; GENERAL-CLASS; SAMPLED-DATA; STABILITY; PASSIVITY; DISCRETE; SYSTEMS; PASSIFICATION;
D O I
10.1109/TNNLS.2018.2852497
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 concerned with exponential stabilization for a class of Takagi-Sugeno fuzzy memristive neural networks (FMNNs) with unbounded discrete and distributed time-varying delays. Under the framework of Filippov solutions, algebraic criteria are established to guarantee exponential stabilization of the addressed FMNNs with hybrid unbounded time delays via designing a fuzzy state feedback controller by exploiting inequality techniques, calculus theorems, and theories of fuzzy sets. The obtained results in this paper enhance and generalize some existing ones. Meanwhile, a general theoretical framework is proposed to investigate the dynamical behaviors of various neural networks with mixed infinite time delays. Finally, two simulation examples are performed to illustrate the validity of the derived outcomes.
引用
收藏
页码:739 / 750
页数:12
相关论文
共 65 条
[1]   Exponential Synchronization of Coupled Stochastic Memristor-Based Neural Networks With Time-Varying Probabilistic Delay Coupling and Impulsive Delay [J].
Bao, Haibo ;
Park, Ju H. ;
Cao, Jinde .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2016, 27 (01) :190-201
[2]   Finite-Time Stabilization of Delayed Memristive Neural Networks: Discontinuous State-Feedback and Adaptive Control Approach [J].
Cai, Zuowei ;
Huang, Lihong .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2018, 29 (04) :856-868
[3]   Global asymptotic stability of a general class of recurrent neural networks with time-varying delays [J].
Cao, J ;
Wang, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) :34-44
[4]   New results concerning exponential stability and periodic solutions of delayed cellular neural networks [J].
Cao, JD .
PHYSICS LETTERS A, 2003, 307 (2-3) :136-147
[5]   Fixed-time synchronization of delayed memristor-based recurrent neural networks [J].
Cao, Jinde ;
Li, Ruoxia .
SCIENCE CHINA-INFORMATION SCIENCES, 2017, 60 (03)
[6]   Experimental Demonstration of Feature Extraction and Dimensionality Reduction Using Memristor Networks [J].
Choi, Shinhyun ;
Shin, Jong Hoon ;
Lee, Jihang ;
Sheridan, Patrick ;
Lu, Wei D. .
NANO LETTERS, 2017, 17 (05) :3113-3118
[7]   MEMRISTOR - MISSING CIRCUIT ELEMENT [J].
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+
[8]   Dissipativity Analysis for Stochastic Memristive Neural Networks With Time-Varying Delays: A Discrete-Time Case [J].
Ding, Sanbo ;
Wang, Zhanshan ;
Zhang, Huaguang .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2018, 29 (03) :618-630
[9]   Exponential Stabilization of Memristive Neural Networks via Saturating Sampled-Data Control [J].
Ding, Sanbo ;
Wang, Zhanshan ;
Rong, Nannan ;
Zhang, Huaguang .
IEEE TRANSACTIONS ON CYBERNETICS, 2017, 47 (10) :3027-3039
[10]   Novel Switching Jumps Dependent Exponential Synchronization Criteria for Memristor-Based Neural Networks [J].
Ding, Sanbo ;
Wang, Zhanshan ;
Huang, Zhanjun ;
Zhang, Huaguang .
NEURAL PROCESSING LETTERS, 2017, 45 (01) :15-28