Generalized synchronization of delayed complex-valued dynamical networks via hybrid control

Shen, Yuan; Liu, Xinzhi

doi:10.1016/j.cnsns.2022.107057

Cited by 9 publications

(6 citation statements)

References 43 publications

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“…In particular, our GOS approaches also contain single‐layer methods as special cases. Thus, in comparison to References 7‐16,23‐27,32,38,39,41‐43, our approaches have a wider range of application scenarios.…”

Section: Introductionmentioning

confidence: 99%

“…2,3 Consequently, it has aroused compelling recognition and has been extensively investigated in the past few decades. [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] As research delves deeper, synchronization can be categorized into various forms, including complete synchronization, [4][5][6] generalized synchronization, [7][8][9][10][11][12][13][14][15][16] cluster synchronization, 17 and others. 18,19 The existing research on synchronization criteria, including previously introduced examples, oversimplifies some realistic properties and mostly focuses on single-layer networks.…”

Section: Introductionmentioning

confidence: 99%

“…Examples of synchronization can be observed in cicadas chirp in summer, coordination between heart rate and breathing, and applications in nuclear magnetic resonance instruments and secure communication systems, to name a few 2,3 . Consequently, it has aroused compelling recognition and has been extensively investigated in the past few decades 2‐19 . As research delves deeper, synchronization can be categorized into various forms, including complete synchronization, 4‐6 generalized synchronization, 7‐16 cluster synchronization, 17 and others 18,19 …”

Section: Introductionmentioning

confidence: 99%

“…Consequently, it has aroused compelling recognition and has been extensively investigated in the past few decades 2‐19 . As research delves deeper, synchronization can be categorized into various forms, including complete synchronization, 4‐6 generalized synchronization, 7‐16 cluster synchronization, 17 and others 18,19 …”

Section: Introductionmentioning

confidence: 99%

“…Current research on GOS is mainly based on single‐layer networks, see References 7‐16 and the relevant references therein. Reference 32 studied GOS of two‐layer counterpart networks using pinning control and auxiliary network method.…”

Section: Introductionmentioning

confidence: 99%

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Generalized outer synchronization and parameters identification of uncertain delayed hypernetworks with stochastic noises

Wang

Lü

et al. 2023

Intl J Robust & Nonlinear

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Synchronization of hypernetworks has been extensively researched due to its potential applications in various contexts, such as secure communications and power grid engineering. However, the existing works thus far have primarily been devoted to inner synchronization or complete outer synchronization with identical node dynamics and topology structures. To investigate harmonious coexistence between two networks with nonidentical node dynamics and reduce control costs as well, this paper focuses on generalized outer synchronization (GOS) and parameters identification of uncertain delayed hypernetworks with stochastic noises. Regardless of whether the node parameters are known or not, based on Lyapunov stability and the LaSalle-type invariance principle for stochastic differential equations with multiple delays, some sufficient conditions are exhibited to reach GOS almost surely via adaptive control schemes.Moreover, the unknown node parameter vectors are identified by the designed updating laws. In addition, some corollaries are deduced and indicate that our proposed methods contain single-layer networks and complete synchronization methods as special cases. Furthermore, numerical simulations are provided to verify the effectiveness of our approaches. In particular, it is revealed that network parameters, including time delays, coupling strengths, and noise intensities, have an impact on the performance of the proposed algorithms.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Generalized outer synchronization and parameters identification of uncertain delayed hypernetworks with stochastic noises

Wang

Lü

et al. 2023

Intl J Robust & Nonlinear

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Resilient adaptive event‐triggered synchronization control of piecewise‐homogeneous Markov jump delayed neural networks under aperiodic DoS attacks

Zhao,

Zhang,

Xiong

et al. 2023

Intl J Robust & Nonlinear

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SummaryUnder the aperiodic Denial‐of‐service (DoS) attacks, this paper studies the resilient adaptive event‐triggered synchronization control problem for a class of Piecewise‐Homogeneous Uncertain Markov Jump Neural Networks (PHUMJNNs) with time‐varying delays. First of all, a new way of carving DoS attacks is given from the defenders' perspective, that is, aperiodic DoS attacks based on fixed detection periods. Then, under such attacks, a new Resilient Adaptive Event‐triggered Communication (RAETC) is designed between sensor and controller, which has a threshold function based on the net change rate and is real‐time updated depending on the present sampling state. Next, a single functional is used in the construction of the Lyapunov‐Krasovskii functional, while a new looped functional is introduced that makes full use of the state information of the current instant , the trigger instant and the next trigger instant . Based on the constructed single functional, under the framework of the input delay method and the linear matrix inequality technique, the exponential mean square stabilization criterion of the error system is obtained, which makes the master system and the slave system synchronized. In the end, three simulation examples are used to illustrate the validity of the obtained results.

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Lag Synchronization in Mean Square of Stochastic Complex Networks with Multiple Mixed Delays via Impulsive Control

Gong,

Shi

2024

Qual. Theory Dyn. Syst.

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Generalized synchronization of delayed complex-valued dynamical networks via hybrid control

Cited by 9 publications

References 43 publications

Generalized outer synchronization and parameters identification of uncertain delayed hypernetworks with stochastic noises

Generalized outer synchronization and parameters identification of uncertain delayed hypernetworks with stochastic noises

Resilient adaptive event‐triggered synchronization control of piecewise‐homogeneous Markov jump delayed neural networks under aperiodic DoS attacks

Lag Synchronization in Mean Square of Stochastic Complex Networks with Multiple Mixed Delays via Impulsive Control

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