A delay-product-type Lyapunov functional approach for enhanced synchronization of chaotic Lur'e systems using a quantized controller

The asymptotic synchronization problem of chaotic Lur'e systems in the master-slave framework was explored in this paper. A time-varying delay feedback controller with quantization considerations and a delay-product-type Lyapunov-Krasovskii functional technique were employed to tackle this prob...

Full description

Saved in:
Bibliographic Details
Published inAIMS mathematics Vol. 9; no. 6; pp. 13843 - 13860
Main Authors Kaviarasan, Boomipalagan, Kavikumar, Ramasamy, Kwon, Oh-Min, Sakthivel, Rathinasamy
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2024
Subjects
chaotic lur'e systems
delay-product-type lyapunov functional
quantization
synchronization
time-varying delay
Online AccessGet full text

Cover

More Information
Summary:The asymptotic synchronization problem of chaotic Lur'e systems in the master-slave framework was explored in this paper. A time-varying delay feedback controller with quantization considerations and a delay-product-type Lyapunov-Krasovskii functional technique were employed to tackle this problem. Consider an error system based on master and slave systems, for which sufficient asymptotic stability requirements are developed to assure that the addressed system achieves proper synchronization. Following that, the desired control gain was determined by finding a feasible solution to these stability requirements. The results of this paper were validated using a numerical example with simulations, which revealed that they were superior to previously published ones.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024673