title: Sampled-Data Synchronization of Markovian Coupled Neural Networks With Mode Delays Based on Mode-Dependent LKF.
abstract: This paper investigates sampled-data synchronization problem of Markovian coupled neural networks with mode-dependent interval time-varying delays and aperiodic sampling intervals based on an enhanced input delay approach. A mode-dependent augmented Lyapunov-Krasovskii functional (LKF) is utilized, which makes the LKF matrices mode-dependent as much as possible. By applying an extended Jensen's integral inequality and Wirtinger's inequality, new delay-dependent synchronization criteria are obtained, which fully utilizes the upper bound on variable sampling interval and the sawtooth structure information of varying input delay. In addition, the desired stochastic sampled-data controllers can be obtained by solving a set of linear matrix inequalities. Finally, two examples are provided to demonstrate the feasibility of the proposed method.This paper investigates sampled-data synchronization problem of Markovian coupled neural networks with mode-dependent interval time-varying delays and aperiodic sampling intervals based on an enhanced input delay approach. A mode-dependent augmented Lyapunov-Krasovskii functional (LKF) is utilized, which makes the LKF matrices mode-dependent as much as possible. By applying an extended Jensen's integral inequality and Wirtinger's inequality, new delay-dependent synchronization criteria are obtained, which fully utilizes the upper bound on variable sampling interval and the sawtooth structure information of varying input delay. In addition, the desired stochastic sampled-data controllers can be obtained by solving a set of linear matrix inequalities. Finally, two examples are provided to demonstrate the feasibility of the proposed method.
authors.affiliation: College of Information Science and Engineering, Northeastern University, Shenyang, China.
authors.forename: Junyi
authors.initials: J
authors.lastname: Wang
authors.affiliation: College of Information Science and Engineering, Northeastern University, Shenyang, China.
authors.forename: Huaguang
authors.initials: H
authors.lastname: Zhang
authors.affiliation: College of Information Science and Engineering, Northeastern University, Shenyang, China.
authors.forename: Zhanshan
authors.initials: Z
authors.lastname: Wang
authors.affiliation: College of Information Science and Engineering, Northeastern University, Shenyang, China.
authors.forename: Zhenwei
authors.initials: Z
authors.lastname: Liu
keywords: Complex networks; Couplings; Delay effects; Delays; Linear matrix inequalities; Neural networks; Synchronization