Local Synchronization of Directed Lur'e Networks With Coupling Delay via Distributed Impulsive Control Subject to Actuator Saturation

This article studies the local exponential synchronization synthesis problem of directed Lur'e networks with coupling time-varying delay under the distributed impulsive control subject to actuator saturation. First, by utilizing proof by contradiction, impulsive comparison principle, and latest...

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Bibliographic Details
Published inIEEE transaction on neural networks and learning systems Vol. 34; no. 10; pp. 7170 - 7180
Main Authors Lv, Xiaoxiao, Cao, Jinde, Li, Xiaodi, Luo, Yiping
Format Journal Article
LanguageEnglish
Published United States IEEE 01.10.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Actuator saturation
Actuators
Attraction
Control systems
Convexity
Coupling
coupling time-varying delay
Couplings
Delay
Delays
directed Lur’e networks
distributed impulsive control
Estimation
Impulsivity
Linear matrix inequalities
local exponential synchronization
Mathematical analysis
Mathematical models
Optimization
Protocols
Synchronism
Synchronization
Time varying control
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Summary:This article studies the local exponential synchronization synthesis problem of directed Lur'e networks with coupling time-varying delay under the distributed impulsive control subject to actuator saturation. First, by utilizing proof by contradiction, impulsive comparison principle, and latest improved convex hull representation of saturation function, some delay-independent sufficient criteria for local exponential synchronization are presented in the form of bilinear matrix inequalities. Meanwhile, a novel method with less conservatism is developed to estimate the domain of attraction, which is radically different from the traditional method by means of contractive invariant set. Second, optimization problems constrained by the transformed linear matrix inequalities are established to acquire the maximum estimates of both the domain of attraction and average impulsive interval (AII), which are conveniently solved by the YALMIP toolbox in MATLAB software. Finally, a numerical simulation is rendered to demonstrate the effectiveness and advantages of the proposed theoretical results.
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ISSN:2162-237X
2162-2388
2162-2388
DOI:10.1109/TNNLS.2021.3138997