Title :
Stochastic Synchronization of Markovian Jump Neural Networks With Time-Varying Delay Using Sampled Data
Author :
Zheng-Guang Wu ; Peng Shi ; Hongye Su ; Jian Chu
Author_Institution :
Nat. Lab. of Ind. Control Technol., Zhejiang Univ., Hangzhou, China
Abstract :
In this paper, the problem of sampled-data synchronization for Markovian jump neural networks with time-varying delay and variable samplings is considered. In the framework of the input delay approach and the linear matrix inequality technique, two delay-dependent criteria are derived to ensure the stochastic stability of the error systems, and thus, the master systems stochastically synchronize with the slave systems. The desired mode-independent controller is designed, which depends upon the maximum sampling interval. The effectiveness and potential of the obtained results is verified by two simulation examples.
Keywords :
Markov processes; linear matrix inequalities; neural nets; sampling methods; stability; synchronisation; Markovian jump neural networks; delay-dependent criteria; input delay approach; linear matrix inequality technique; master systems; mode-independent controller design; sampled data synchronization; sampling interval; slave systems; stochastic stability; stochastic synchronization; time-varying delay; variable samplings; Biological neural networks; Delay; Delay effects; Linear matrix inequalities; Symmetric matrices; Synchronization; Linear matrix inequality (LMI); Markovian jump systems; neural networks; sampled-data control; synchronization;
Journal_Title :
Cybernetics, IEEE Transactions on
DOI :
10.1109/TSMCB.2012.2230441