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Entropy 2015, 17(11), 7298-7309; doi:10.3390/e17117298

Projective Exponential Synchronization for a Class of Complex PDDE Networks with Multiple Time Delays

1
School of Informatics, Linyi University, Linyi 276005, China
2
School of Science, Linyi University, Linyi 276005, China
3
School of Automobile Engineering, Linyi University, Linyi 276005, China
4
School of Automation, Southeast University, Nanjing 210096, China
*
Authors to whom correspondence should be addressed.
Academic Editor: J. A. Tenreiro Machado
Received: 20 April 2015 / Revised: 18 October 2015 / Accepted: 19 October 2015 / Published: 28 October 2015
(This article belongs to the Special Issue Recent Advances in Chaos Theory and Complex Networks)
View Full-Text   |   Download PDF [765 KB, uploaded 28 October 2015]   |  

Abstract

This paper addresses the problem of projective exponential synchronization for a class of complex spatiotemporal networks with multiple time delays satisfying the homogeneous Neumann boundary conditions, where the network is modeled by coupled partial differential-difference equations (PDDEs). A distributed proportional-spatial derivative (P-sD) controller is designed by employing Lyapunov’s direct method and Kronecker product. The controller ensures the projective exponential synchronization of the PDDE network. The main result of this paper is presented in terms of standard linear matrix inequality (LMI). A numerical example is provided to show the effectiveness of the proposed design method. View Full-Text
Keywords: spatiotemporal behavior; partial differential-difference equation; projective exponential synchronization; linear matrix inequality spatiotemporal behavior; partial differential-difference equation; projective exponential synchronization; linear matrix inequality
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Yang, C.; Qiu, J.; Li, T.; Zhang, A.; Chen, X. Projective Exponential Synchronization for a Class of Complex PDDE Networks with Multiple Time Delays. Entropy 2015, 17, 7298-7309.

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