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Open AccessArticle

A New Model for Complex Dynamical Networks Considering Random Data Loss

1,2, 1,2,* and 1,2
1
School of Automation, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
2
Jiangsu Engineering Lab for IOT Intelligent Robots(IOTRobot), Nanjing 210023, China
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(8), 797; https://doi.org/10.3390/e21080797
Received: 2 August 2019 / Revised: 14 August 2019 / Accepted: 14 August 2019 / Published: 15 August 2019
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Abstract

Model construction is a very fundamental and important issue in the field of complex dynamical networks. With the state-coupling complex dynamical network model proposed, many kinds of complex dynamical network models were introduced by considering various practical situations. In this paper, aiming at the data loss which may take place in the communication between any pair of directly connected nodes in a complex dynamical network, we propose a new discrete-time complex dynamical network model by constructing an auxiliary observer and choosing the observer states to compensate for the lost states in the coupling term. By employing Lyapunov stability theory and stochastic analysis, a sufficient condition is derived to guarantee the compensation values finally equal to the lost values, namely, the influence of data loss is finally eliminated in the proposed model. Moreover, we generalize the modeling method to output-coupling complex dynamical networks. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed model. View Full-Text
Keywords: complex dynamical network; random data loss; Lyapunov stability theory; stochastic analysis method complex dynamical network; random data loss; Lyapunov stability theory; stochastic analysis method
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Wu, X.; Jiang, G.-P.; Wang, X. A New Model for Complex Dynamical Networks Considering Random Data Loss. Entropy 2019, 21, 797.

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