Combination synchronization and stability analysis of time-varying complex-valued neural networks

Zhang, Hao; Wang, Xingyuan; Yan, Pengfei; Sun, Yongzhi

doi:10.1016/j.chaos.2019.109485

Cited by 16 publications

(3 citation statements)

References 24 publications

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“…Combination synchronization refers to the generalized synchronization between multiple drive systems and multiple response systems [26][27][28]. Combination synchronization increases the complexity of the synchronization system.…”

Section: Introductionmentioning

confidence: 99%

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

Fang¹,

Wei²,

Yin³

et al. 2022

Commun. Theor. Phys.

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In this paper, the problem of combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and external interferences is studied. Firstly, the definition of combination projection synchronization of fractional-order complex dynamic networks is given, and the synchronization problem of the drive-response systems is transformed into the stability problem of the error system. In addition, time-varying delays and disturbances are taken into consideration to make the network synchronization more practical and universal. Then, based on Lyapunov stability theory and fractional inequality theory, the adaptive controller is formulated to make the drive and response systems synchronization by the scaling factors. The controller is easier to realize because there is no time-delay term in the controller. At last, the corresponding simulation examples demonstrate the effectiveness of the proposed scheme.

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Section: Introductionmentioning

confidence: 99%

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

Fang¹,

Wei²,

Yin³

et al. 2022

Commun. Theor. Phys.

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“…When the task is the computation of a control law to guarantee such behavior, then the synchronization can be interpreted as a problem analogous to the synthesis of state observers (NIJMEIJER; MAREELS, 1997). Following the ideas presented by PECORA AND CARROLL (1990) in their seminal work on synchronization, where the MSS can be addressed using the Control Systems framework, a variety of solutions has been proposed to deal with this problem: robust control (SUYKENS; CURRAN; CHUA, 1999), adaptive control (HAO et al, 2020), switched control (ZHU; ZHENG; ZHOU, 2020), time-triggered control (TTC) (ZANI, 2018), among others.…”

Section: Introductionmentioning

confidence: 99%

Event-Triggered Synchronization of Saturated Lur’e-type Systems

Lisboa

Flores

Moreira

et al. 2021

2021 60th IEEE Conference on Decision and Control (CDC)

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I would like to thank my advisors Prof. Jeferson Vieira Flores and Prof. Luciano Gonçalves Moreira for the opportunity to join the PPGEE; for their valuable guidance throughout my studies and for the continuous support, patience and dedication, without which would not be possible to present this work. I also had great pleasure of working with Prof. João Manoel Gomes da Silva Jr., whose helpful criticisms during the revision process certainly brought my way of thinking to a higher level. Finally, I would like express my sincere gratitude to my parents, who encouraged me in this journey.

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“…Among them, real physical networks (e.g., power networks, transportation networks, and Internet networks) and abstract networks (e.g., financial networks, media networks, and interpersonal networks) both belong to complex networks [1,2]. In the many dynamic behaviors of complex networks, synchronization is one of the representative and important collective behaviors on complex networks [3,4]. The phenomenon of the network synchronization means that the dynamic status of the network nodes gradually tends to be consistent through the interaction between dynamic systems.…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Antisynchronization and Parameters Identification of Nonlinear Coupled Multiple-Weight Markovian Switching Complex Networks with Stochastic Perturbations

Qiu¹,

Weng²,

Yu³

et al. 2020

Advances in Mathematical Physics

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The paper mainly focuses on the synchronization of multiple-weight Markovian switching complex networks under nonlinear coupling mode. Based on the finite-time stability theory, Itô’s lemma, and some inequality technologies, the synchronization criterion of network models in the nonlinear coupling mode is obtained; at the same time, unknown parameters of networks are also identified by an effective controller. In addition, several corollaries are given to illustrate the general applicability of the control rules in the paper. Finally, two typical numerical simulations are given to prove the rationality and feasibility of theoretical analysis of network models.

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Combination synchronization and stability analysis of time-varying complex-valued neural networks

Cited by 16 publications

References 24 publications

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

Event-Triggered Synchronization of Saturated Lur’e-type Systems

Finite-Time Antisynchronization and Parameters Identification of Nonlinear Coupled Multiple-Weight Markovian Switching Complex Networks with Stochastic Perturbations

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