Finite-time synchronization for different dimensional fractional-order complex dynamical networks

Lu, Jiyong; Guo, Yanping; Ji, Yude; Fan, Shuangshuang

doi:10.1016/j.chaos.2019.109433

Cited by 24 publications

(8 citation statements)

References 49 publications

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“…On the other hand, as a result of the complicated network structure, it is always difficult to achieve synchronization spontaneously. So far, various control techniques have been presented to investigate the synchronization issue of complex networks, including continuous control [17], and discontinuous control [16,32]. Among them, it is impractical to control every network node of the complex networks since only partial network nodes could be directly controlled according to their characteristics in practice.…”

Section: Introductionmentioning

confidence: 99%

Event-Based Pinning Synchronization Control for Discrete-Time Delayed Complex Cyber-Physical Networks Under All-Around Attacks

Chaoqun

Jia

2023

ITC

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This paper is concerned with the problem of pinning synchronization control for a class of nonlinear discrete-time delayed complex cyber-physical networks under all-around attacks. To handle the all-around attacks, a constrained hybrid attacks model is established, which incorporates the pattern feature of false data injection attacks and physical attacks. By utilizing the Lyapunov stability theory and the linear matrix inequality technique, a novel dynamic event-triggering pinning synchronization control scheme is developed to cope with the synchronization control task. Subsequently, sufficient conditions are obtained to guarantee that the closed-loop error dynamics are ultimately exponentially bounded. Furthermore, the design procedure of the synchronization controller is presented for the considered complex cyber-physical networks subject to all-around attacks. Finally, an illustrative example is delivered to demonstrate the effectiveness of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Event-Based Pinning Synchronization Control for Discrete-Time Delayed Complex Cyber-Physical Networks Under All-Around Attacks

Chaoqun

Jia

2023

ITC

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“…In [ 20 ], the FNTS of FCNs with a strongly connected topology was studied. The FNTS problem between different dimensional fractional-order complex dynamical networks was investigated in [ 21 ]. In [ 22 ], the FNTS of FCNs was studied via intermittent control.…”

Section: Introductionmentioning

confidence: 99%

Synchronization in Finite-Time of Delayed Fractional-Order Fully Complex-Valued Dynamical Networks via Non-Separation Method

Kang

Yang

Jian

et al. 2022

Entropy

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The finite-time synchronization (FNTS) problem for a class of delayed fractional-order fully complex-valued dynamic networks (FFCDNs) with internal delay and non-delayed and delayed couplings is studied by directly constructing Lyapunov functions instead of decomposing the original complex-valued networks into two real-valued networks. Firstly, a mixed delay fractional-order mathematical model is established for the first time as fully complex-valued, where the outer coupling matrices of the model are not restricted to be identical, symmetric, or irreducible. Secondly, to overcome the limitation of the use range of a single controller, two delay-dependent controllers are designed based on the complex-valued quadratic norm and the norm composed of its real and imaginary parts’ absolute values, respectively, to improve the synchronization control efficiency. Besides, the relationships between the fractional order of the system, the fractional-order power law, and the settling time (ST) are analyzed. Finally, the feasibility and effectiveness of the control method designed in this paper are verified by numerical simulation.

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“…[34,35] Therefore, it is more valuable to consider the dynamic behavior of CNs under fractional-order perspective. [36][37][38] In Ref. [36], Li et al studied the synchronization phenomenon of fractional order CNs using the method of graph theory and proposed a new finite-time synchronization theorem.…”

Section: Introductionmentioning

confidence: 99%

Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive quantized control

2022

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In this paper, finite-time synchronization of fractional-order multi-weighted complex networks (FMCNs) with uncertain parameters and external disturbances is studied. Firstly, based on fractional calculus characteristics and Lyapunov stability theory, quantized controllers are designed to guarantee that FMCNs can achieve synchronization in a limited time with and without coupling delay respectively. Then, appropriate parameter update laws are obtained to identify uncertain parameters in FMCNs. Finally, numerical simulation examples are given to validate the correctness of the theoretical results.

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Finite-time synchronization for different dimensional fractional-order complex dynamical networks

Cited by 24 publications

References 49 publications

Event-Based Pinning Synchronization Control for Discrete-Time Delayed Complex Cyber-Physical Networks Under All-Around Attacks

Event-Based Pinning Synchronization Control for Discrete-Time Delayed Complex Cyber-Physical Networks Under All-Around Attacks

Synchronization in Finite-Time of Delayed Fractional-Order Fully Complex-Valued Dynamical Networks via Non-Separation Method

Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive quantized control

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