A PASSIVITY APPROACH TO SYNCHRONIZATION FOR TIME-DELAYED CHAOTIC SYSTEMS-Reference-Cited by-同舟云学术

A PASSIVITY APPROACH TO SYNCHRONIZATION FOR TIME-DELAYED CHAOTIC SYSTEMS

Published:2009-11-20 Issue:29 Volume:23 Page:3531-3541
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

AHN CHOON KI¹

Affiliation:

1. Faculty of the Division of Electrical, Electronics, and Information Engineering, Wonkwang University, 344-2 Shinyong-dong, Iksan 570-749, Korea

Abstract

In this letter, we propose a new passivity-based synchronization method for time-delayed chaotic systems. Based on Lyapunov–Krasovskii theory and linear matrix inequality (LMI) approach, the passivity-based controller is presented to make the synchronization error system for time-delayed chaotic systems not only passive but also asymptotically stable. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. As an application of the proposed method, the synchronization problem for chaotic delayed Hopfield neural networks is investigated.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984909021594

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