Synchronization of Complex Dynamical Networks Subject to Noisy Sampling Interval and Packet Loss

• Published in: IEEE transaction on neural networks and learning systems Vol. 33; no. 8; pp. 3216 - 3226
• Main Authors: Hu, Zhipei, Ren, Hongru, Shi, Peng
• Format: Journal Article
• Language: English
• Published: United States IEEE 01.08.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Circuits; Complex dynamical networks (CDNs); Control systems design; Delays; Intervals; Noise measurement; noisy sampling interval; Packet loss; Perturbation; Perturbation methods; Probability distribution; Randomness; Sampling; Sampling error; Stochasticity; successive packet losses; Synchronism; Synchronization; synchronization control; Upper bound; Upper bounds
• ISSN: 2162-237X; 2162-2388; 2162-2388
• DOI: 10.1109/TNNLS.2021.3051052

This article focuses on the sampled-data synchronization issue for a class of complex dynamical networks (CDNs) subject to noisy sampling intervals and successive packet losses. The sampling intervals are subject to noisy perturbations, and categorical distribution is used to characterize the sampling errors of noisy sampling intervals. By means of the input delay approach, the CDN under consideration is first converted into a delay system with delayed input subject to dual randomness and probability distribution characteristic. To verify the probability distribution characteristic of the delayed input, a novel characterization method is proposed, which is not the same as that of some existing literature. Based on this, a unified framework is then established. By recurring to the techniques of stochastic analysis, a probability-distribution-dependent controller is designed to guarantee the mean-square exponential synchronization of the error dynamical network. Subsequently, a special model is considered where only the lower and upper bounds of delayed input are utilized. Finally, to verify the analysis results and testify the effectiveness and superiority of the designed synchronization algorithm, a numerical example and an example using Chua's circuit are given.