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Nonfragile Dissipative Synchronization of Reaction-diffusion Complex Dynamical Networks with Coupling Delays

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  • Control Theory and Applications
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Abstract

This paper focuses on the synchronization of reaction-diffusion complex dynamical networks with coupling delay. In order to reflect the uncertainties of the controller, the nonfragile problem is considered. Furthermore, we also take into account the dissipativity analysis problem, which contains the \(\cal{H}_{\infty}\) performance and passivity performance in a unified framework. By utilizing the Lyapunov functional method, two sufficient delay-dependent conditions, which ensure the considered system is globally asymptotically synchronized onto the unforced node and strictly dissipative, are established in terms of linear matrix inequality. Finally, three numerical examples are employed to demonstrate the effectiveness of the design methods.

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Authors and Affiliations

  1. School of Information Engineering, Henan University of Science and Technology, Kaifeng, 471023, China

    Xiaona Song, Renzhi Zhang & Mi Wang

  2. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing, 210042, China

    Junwei Lu

Authors
  1. Xiaona Song
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  2. Renzhi Zhang
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  3. Mi Wang
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  4. Junwei Lu
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Correspondence to Xiaona Song.

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Recommended by Associate Editor Yingmin Jia under the direction of Editor Fumitoshi Matsuno.

Xiaona Song received her Ph.D. degree in control science and engineering from Nanjing University of Science and Technology, Nanjing, China, in 2011. From Feb. 2009 to Aug. 2009 and Apr. 2016 to Apr. 2017, she was a visiting scholar with the Department of Electrical Engineering, Utah State University and Southern Illinois University Carbondale, respectively. From July 2019 to Aug. 2019, she was a visiting scholar with the Department of Electrical Engineering, Yeungnam University, Republic of Korea. Since 2011, she has been with Henan University of Science and Technology, Luoyang, China, where she is currently a Professor with the School of Information Engineering. Her current research interests include Markov jump distributed parameter systems, complex networks, fractional-order systems and control, fuzzy systems, nonlinear control.

Renzhi Zhang received his B.S. degree in automation from the School of Information Engineering, Xiangtan University, Xiangtan, China in 2018. He is studying for an M.S. degree in the School of Information Engineering, Henan University of Science and Technology, Luoyang, China. His current research interests include complex networks, neural networks, Markov jump distributed parameter systems.

Mi Wang received his B.S. degree in automation from the School of Information Engineering, Henan University of Science and Technology, Luoyang, China in 2018. He is studying for an M.S. degree in the School of Information Engineering, Henan University of Science and Technology, Luoyang, China. His current research interests include Markov jump distributed parameter systems, neural networks, fault tolerant control and filtering.

Junwei Lu received her B.S. degree and M.S. degree from Nanjing University of Aeronautics and Astronautics in 2001, and Nanjing University of Science and Technology in 2008, respectively. Her current research interests include robust filtering and control, time-delay systems and nonlinear systems.

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Song, X., Zhang, R., Wang, M. et al. Nonfragile Dissipative Synchronization of Reaction-diffusion Complex Dynamical Networks with Coupling Delays. Int. J. Control Autom. Syst. 19, 1252–1263 (2021). https://doi.org/10.1007/s12555-020-0091-8

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  • DOI: https://doi.org/10.1007/s12555-020-0091-8

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