title: Circuit design and exponential stabilization of memristive neural networks.
abstract: This paper addresses the problem of circuit design and global exponential stabilization of memristive neural networks with time-varying delays and general activation functions. Based on the Lyapunov-Krasovskii functional method and free weighting matrix technique, a delay-dependent criteria for the global exponential stability and stabilization of memristive neural networks are derived in form of linear matrix inequalities (LMIs). Two numerical examples are elaborated to illustrate the characteristics of the results. It is noteworthy that the traditional assumptions on the boundness of the derivative of the time-varying delays are removed.
authors.affiliation: Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China; Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China. Electronic address: wenshiping226@126.com.
authors.forename: Shiping
authors.initials: S
authors.lastname: Wen
authors.affiliation: Texas A & M University at Qatar, Doha 5825, Qatar. Electronic address: tingwen.huang@qatar.tamu.edu.
authors.forename: Tingwen
authors.initials: T
authors.lastname: Huang
authors.affiliation: Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China; Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China. Electronic address: zgzeng527@126.com.
authors.forename: Zhigang
authors.initials: Z
authors.lastname: Zeng
authors.affiliation: Electrical and Computer Engineering Department, University of Pittsburgh, Pittsburgh PA 15261, USA. Electronic address: yic52@pitt.edu.
authors.forename: Yiran
authors.initials: Y
authors.lastname: Chen
authors.affiliation: Department of Electrical and Computer Engineering, Texas A & M University, College Station, TX 77843, USA. Electronic address: pli@tamu.edu.
authors.forename: Peng
authors.initials: P
authors.lastname: Li
mesh_terms: D000465:Algorithms; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics
keywords: Memristor; Neural networks; Stabilization