Year: 2025
Type: article
Abstract: This paper examines the problem of master-slave synchronization control for chaotic Lur'e systems (CLS) under sampled-data conditions. Initially, a two-sided looped Lyapunov function is constructed by fully leveraging the system characteristics and information regarding the sampling mode. Subsequently, based on the Lyapunov stability theory and using the integral inequality of free matrices, we establish the stability criteria for the synchronization error system of CLS. Utilizing these conditions, we compute the sampling controller gains through an enhanced iterative conditioned cone complementarity linearization iteration algorithm, thereby achieving synchronization of the master-slave system over more extended sampling periods. Ultimately, numerical examples are presented to demonstrate that the proposed method outperforms existing approaches documented in the literature.
Source: AIMS Mathematics
DOI: 10.3934/math.2025337
Authors: Xinyu Li, Wei Wang, Jinming Liang
Institution: Hunan University of Technology
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,200
Award: G2000214887
OpenAlex ID: W4409015984