Finite-Horizon $l_2-l_\infty$ Synchronization for Time-Varying Markovian Jump Neural Networks Under Mixed-Type Attacks: Observer-Based Case

2019 ◽  
Vol 30 (6) ◽  
pp. 1695-1704 ◽  
Author(s):  
Yong Xu ◽  
Jun-Yi Li ◽  
Renquan Lu ◽  
Chang Liu ◽  
Yuanqing Wu
Keyword(s):  
Neural Networks ◽  
Mixed Type ◽  
Finite Horizon ◽  
Time Varying ◽  
Markovian Jump ◽  
Markovian Jump Neural Networks

scholarly journals H∞ Synchronization of Semi-Markovian Jump Neural Networks with Randomly Occurring Time-Varying Delays

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-16 ◽  
Author(s):  
Mengping Xing ◽  
Hao Shen ◽  
Zhen Wang
Keyword(s):  
Neural Networks ◽  
Continuous Time ◽  
Lyapunov Stability Theory ◽  
Schur Complement ◽  
Jensen Inequality ◽  
Time Varying ◽  
Transition Rates ◽  
Markovian Jump ◽  
Synchronization Problem ◽  
Markovian Jump Neural Networks

Based on the Lyapunov stability theory, this paper mainly investigates the H∞ synchronization problem for semi-Markovian jump neural networks (semi-MJNNs) with randomly occurring time-varying delays (TVDs). The continuous-time semi-MJNNs, where the transition rates are dependent on sojourn time, are introduced to make the issue under our consideration more general. One of the main characteristics of our work is the handling of TVDs. In addition to using the improved Jensen inequality and the reciprocal convexity lemma to deal with the integral inequality, we also employ Schur complement and the projection lemma to achieve the decoupling between the square term of TVDs. Finally, we verify the validity and feasibility of our method by a couple of simulation examples.

Reachable Set Estimation for Markovian Jump Neural Networks With Time-Varying Delays

2017 ◽  
Vol 47 (10) ◽  
pp. 3208-3217 ◽  
Author(s):  
Zhaowen Xu ◽  
Hongye Su ◽  
Peng Shi ◽  
Renquan Lu ◽  
Zheng-Guang Wu
Keyword(s):  
Neural Networks ◽  
Reachable Set ◽  
Time Varying ◽  
Markovian Jump ◽  
Set Estimation ◽  
Reachable Set Estimation ◽  
Markovian Jump Neural Networks
Sign in / Sign up

Export Citation Format

Share Document