Open AccessNon-fragile mixed H∞ and passive synchronization of Markov jump neural networks with mixed time-varying delays and randomly occurring controller gain fluctuation
Author(s) -
Chao Ma
Publication year - 2017
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0175676
Subject(s) - synchronization (alternating current) , control theory (sociology) , controller (irrigation) , jump , artificial neural network , computer science , markov chain , discrete time and continuous time , markov process , stability (learning theory) , mathematics , control (management) , physics , statistics , artificial intelligence , biology , telecommunications , machine learning , channel (broadcasting) , quantum mechanics , agronomy
This paper studies the non-fragile mixed H ∞ and passive synchronization problem for Markov jump neural networks. The randomly occurring controller gain fluctuation phenomenon is investigated for non-fragile strategy. Moreover, the mixed time-varying delays composed of discrete and distributed delays are considered. By employing stochastic stability theory, synchronization criteria are developed for the Markov jump neural networks. On the basis of the derived criteria, the non-fragile synchronization controller is designed. Finally, an illustrative example is presented to demonstrate the validity of the control approach.