Open AccessHybrid control of stochastic chaotic system based on memristive Lorenz system with discrete and distributed time‐varying delays
Author(s) -
Zhang Bo,
Deng Feiqi,
Zhao Xueyan,
Zhang Chaolong
Publication year - 2016
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2016.0039
Subject(s) - control theory (sociology) , lorenz system , piecewise , chaotic , impulse (physics) , mathematics , discrete time and continuous time , hybrid system , memristor , computer science , control (management) , engineering , artificial intelligence , mathematical analysis , statistics , physics , quantum mechanics , machine learning , electrical engineering
This study investigates the problem of hybrid control of stochastic chaotic system based on memristive Lorenz system with discrete and distributed time‐varying delays. First of all, the stochastic switched chaotic system is proposed based on Lorenz system modelled by piecewise linear memristor. Then, a novel hybrid controller is designed and the criteria are established to guarantee that the trivial solution of the corresponding stochastic system is exponentially stable in mean square. Furthermore, a novel technique is proposed to handle the problem of the difference, which cannot be depicted directly by stochastic Newton–Leibniz formula, between two state values of different instants between which there may exist impulse instants. Finally, an example is given to illustrate the efficiency and feasibility of the presented method.