Synchronisation of chaotic neural networks with unknown parameters and random time-varying delays based on adaptive sampled-data control and parameter identification
Synchronisation of chaotic neural networks with unknown parameters and random time-varying delays based on adaptive sampled-data control and parameter identification
- Author(s): Q. Gan
- DOI: 10.1049/iet-cta.2011.0426
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- Author(s): Q. Gan 1
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View affiliations
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Affiliations:
1: Department of Basic Science, Shijiazhuang Mechanical Engineering College, Shijiazhuang, People's Republic of China
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Affiliations:
1: Department of Basic Science, Shijiazhuang Mechanical Engineering College, Shijiazhuang, People's Republic of China
- Source:
Volume 6, Issue 10,
5 July 2012,
p.
1508 – 1515
DOI: 10.1049/iet-cta.2011.0426 , Print ISSN 1751-8644, Online ISSN 1751-8652
This study investigates the synchronisation problem of chaotic neural networks with unknown parameters and random time-varying delays. By introducing a stochastic variable with Bernoulli distribution, the neural networks with random time-varying delays is transformed into one with deterministic varying delays and stochastic parameters. A simple and robust adaptive sampled-data controller is designed such that the response system can be synchronised with a drive system with unknown parameters by using suitable parameter identification and the Lyapunov stability theory. The proposed synchronisation criteria are easily verified and do not need to solve any linear matrix inequality. Numerical simulations are carried out to demonstrate the effectiveness of the established synchronisation laws.
Inspec keywords: linear matrix inequalities; parameter estimation; synchronisation; Lyapunov methods; time-varying systems; stochastic processes; delays; neural nets; adaptive control; robust control
Other keywords:
Subjects: Time-varying control systems; Distributed parameter control systems; Linear algebra (numerical analysis); Other topics in statistics; Self-adjusting control systems; Stability in control theory; Neural nets (theory)
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