In this paper, the synchronization of complex dynamical networks (CDNs) is investigated, where coupling connections are expressed in terms of state-space equations. As it is shown in simulation results, such links can greatly affect the synchronization and cause synchronization loss, while many real-world networks have these types of connections. With or without time-delay, two different models of the CDNs are presented. Then, by introducing a distributed adaptive controller, the synchronization conditions are derived by utilizing the Lyapunov(–Krasovskii) theorem. These conditions are provided in the form of linear matrix inequalities (LMIs), which can be easily solved by standard LMI solvers even for large networks due to a few numbers of scalar decision variables. At the end, illustrative numerical examples are given to specify the effectiveness of the proposed methods.
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June 2019
Research-Article
Adaptive Synchronization of Complex Dynamical Networks in Presence of Coupling Connections With Dynamical Behavior
Ali Kazemy,
Ali Kazemy
Department of Electrical Engineering,
Tafresh University,
Tafresh 39518-79611, Iran
e-mail: kazemy@tafreshu.ac.ir
Tafresh University,
Tafresh 39518-79611, Iran
e-mail: kazemy@tafreshu.ac.ir
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Khoshnam Shojaei
Khoshnam Shojaei
Department of Electrical Engineering,
Najafabad Branch,
Islamic Azad University,
Najafabad 8514143131, Iran
e-mail: khoshnam.shojaee@gmail.com
Najafabad Branch,
Islamic Azad University,
Najafabad 8514143131, Iran
e-mail: khoshnam.shojaee@gmail.com
Search for other works by this author on:
Ali Kazemy
Department of Electrical Engineering,
Tafresh University,
Tafresh 39518-79611, Iran
e-mail: kazemy@tafreshu.ac.ir
Tafresh University,
Tafresh 39518-79611, Iran
e-mail: kazemy@tafreshu.ac.ir
Khoshnam Shojaei
Department of Electrical Engineering,
Najafabad Branch,
Islamic Azad University,
Najafabad 8514143131, Iran
e-mail: khoshnam.shojaee@gmail.com
Najafabad Branch,
Islamic Azad University,
Najafabad 8514143131, Iran
e-mail: khoshnam.shojaee@gmail.com
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received July 14, 2018; final manuscript received March 6, 2019; published online April 8, 2019. Assoc. Editor: Bernard Brogliato.
J. Comput. Nonlinear Dynam. Jun 2019, 14(6): 061003 (8 pages)
Published Online: April 8, 2019
Article history
Received:
July 14, 2018
Revised:
March 6, 2019
Citation
Kazemy, A., and Shojaei, K. (April 8, 2019). "Adaptive Synchronization of Complex Dynamical Networks in Presence of Coupling Connections With Dynamical Behavior." ASME. J. Comput. Nonlinear Dynam. June 2019; 14(6): 061003. https://doi.org/10.1115/1.4043146
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