Global exponential stability and dissipativity of generalized neural networks with time-varying delay signals.
This paper investigates the problems of exponential stability and dissipativity of generalized neural networks (GNNs) with time-varying delay signals. By constructing a novel Lyapunov-Krasovskii functionals (LKFs) with triple integral terms that contain more advantages of the state vectors of the neural networks, and the upper bound on the time-varying delay signals are formulated. We employ a new integral inequality technique (IIT), free-matrix-based (FMB) integral inequality approach, and Wirtinger double integral inequality (WDII) technique together with the reciprocally convex combination (RCC) approach to bound the time derivative of the LKFs. An improved exponential stability and strictly (Q,S,R)-γ-dissipative conditions of the addressed systems are represented by the linear matrix inequalities (LMIs). Finally, four interesting numerical examples are developed to verify the usefulness of the proposed method with a practical application to a biological network.
Department of Mathematics, Thiruvalluvar University, Vellore-632 115, Tamil Nadu, India. Electronic address: manimath7@gmail.com.
R
R
Manivannan
Department of Mathematics, Thiruvalluvar University, Vellore-632 115, Tamil Nadu, India. Electronic address: samidurair@gmail.com.
R
R
Samidurai
Department of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing 210996, Jiangsu, China; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia. Electronic address: jdcao@seu.edu.cn.
Jinde
J
Cao
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia. Electronic address: aalsaedi@hotmail.com.
Ahmed
A
Alsaedi
Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia. Electronic address: fuad_alsaadi@yahoo.com.
Fuad E
FE
Alsaadi
D000465:Algorithms; D008962:Models, Theoretical; D016571:Neural Networks, Computer; D013997:Time Factors
--dissipative; Biological network; Exponential stability; Generalized neural networks; Time-delay signals; Wirtinger double integral inequality