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Neural Computing and Applications
Erschienen in: Neural Computing and Applications 1/2013

01.01.2013 | Original Article

Guaranteed cost synchronous control of time-varying delay cellular neural networks

verfasst von: Jianjun Tu, Hanlin He, Ping Xiong

Erschienen in: Neural Computing and Applications | Ausgabe 1/2013

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Abstract

This paper deals with the synchronization of time-varying delay cellular neural networks. Based on the Lyapunov stability analysis and the zoned discussion and maximax synthesis (ZDMS) method, the quadratic matrix inequality (QMI) criterion for the guaranteed cost synchronous controller is designed to synchronize the given chaotic systems. For the convenience to solve, using a generalized result of Schur complement, the criterion in the form of QMI is turned into the linear matrix inequality (LMI) form, which can be used efficiently via existing numerical convex optimization algorithms such as the interior-point algorithms for solving LMIs. The minimization of the guaranteed cost is further studied, and the corresponding LMI criterion for getting the controller is given. Finally, numerical examples are given to show the effectiveness of proposed guaranteed cost synchronous control and its corresponding minimization problem.
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Metadaten
Titel
Guaranteed cost synchronous control of time-varying delay cellular neural networks
verfasst von
Jianjun Tu
Hanlin He
Ping Xiong
Publikationsdatum
01.01.2013
Verlag
Springer-Verlag
Erschienen in
Neural Computing and Applications / Ausgabe 1/2013
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-011-0667-6

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