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

Boomipalagan Kaviarasan; Ramasamy Kavikumar; Oh-Min Kwon; Rathinasamy Sakthivel; Boomipalagan Kaviarasan; Ramasamy Kavikumar; Oh-Min Kwon; Rathinasamy Sakthivel

doi:10.3934/math.2024673

AIMS Mathematics

2024, Volume 9, Issue 6: 13843-13860. doi: 10.3934/math.2024673

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Research article

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

1.
School of Electrical Engineering, Chungbuk National University, Cheongju, 28644, South Korea
2.
Department of Applied Mathematics, Bharathiar University, Coimbatore, 641046, India
3.
Department of Mathematics, Sungkyunkwan University, Suwon, 440746, South Korea

Received: 27 December 2023 Revised: 14 February 2024 Accepted: 27 February 2024 Published: 15 April 2024
MSC : 93D05, 93D15

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.
- chaotic Lur'e systems,
- synchronization,
- delay-product-type Lyapunov functional,
- quantization,
- time-varying delay
Citation: Boomipalagan Kaviarasan, Ramasamy Kavikumar, Oh-Min Kwon, Rathinasamy Sakthivel. A delay-product-type Lyapunov functional approach for enhanced synchronization of chaotic Lur'e systems using a quantized controller[J]. AIMS Mathematics, 2024, 9(6): 13843-13860. doi: 10.3934/math.2024673

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Abstract

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.

References

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