Novel delay-dependent master-slave synchronization criteria of chaotic Lur’e systems with time-varying-delay feedback control

Kaibo Shi, Xinzhi Liu, Hong Zhu, Shouming Zhong, Yong Zeng and Chun Yin

Applied Mathematics and Computation, 2016, vol. 282, issue C, 137-154

Abstract: This paper is concerned with the issue of master-slave synchronization for chaotic Lur’e systems (CLSs) with time-varying-delay feedback control. A novel integral inequality is developed by employing two adjustable parameters, which encompasses the celebrated Wirtinger’s integral inequality and Jensen’s inequality as two special cases. By constructing an augmented Lyapunov–Krasovskii functional (LKF) taking fully the information time-varying-delay range into account, less conservative delay-dependent synchronization criteria are established in the form of linear matrix inequalities (LIMs). Besides, the desired controller gain can be achieved by introducing new nonlinear function conditions, which have not been proposed so far. Finally, a numerical example of typical Chua’s circuit is presented to show the improvements over the existing criteria and the effectiveness of the design approach.

Keywords: Chaotic Lur’e system; Synchronization; Feedback control; Lyapunov–Krasovkii functional; Linear matrix inequality (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (12)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300316300716
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:282:y:2016:i:c:p:137-154

DOI: 10.1016/j.amc.2016.01.062

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().