Boundary control for synchronization of fractional-order complex spatiotemporal networks based on PDEs with multiple delays and its application in image encryption

Yan, Xu; Yang, Chengdong; Yang, Yuqian; Wang, Xing; Liu, Zhenxing; Huang, Tingwen

doi:10.1016/j.jfranklin.2023.03.019

Cited by 9 publications

(2 citation statements)

References 41 publications

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“…Remark 2. More recently, there have only been a few important works devoted to researching fractional-order multi-agent systems based on PDEs [35][36][37]41]. This paper firstly addresses the fractional-order multi-agent systems based on PDEs with faults.…”

Section: Proof Constructing the Lyapunov Function Ismentioning

confidence: 99%

“…As a result, it has important significance for the research consensus of PDE-based fractional-order MASs (PDEFOMASs). Yan et al proposed boundary consensus control for PDEFOMASs under collocated and distributed boundary measurement form [35], which is further applied in image encryption [36]. Wang et al studied observer-based consensus PDEFOMASs via boundary communication [37].…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Fault-Tolerant Control for Consensus of Nonlinear Fractional-Order Multi-Agent Systems with Diffusion

Yang,

Qi,

et al. 2023

Fractal Fract

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This paper mainly studies fault-tolerant control for a class of semi-linear fractional-order multi-agent systems with diffusion characteristics, where the actuator fault is considered. The adaptive fault-tolerant control protocol based on the adjacency relationship of agents is firstly designed, which can adjust the coupling gain online through the adaptive mechanism. Using the Lyapunov stability theory, the adaptive fault-tolerant control protocol can drive the agents to achieve consensus for leader-following and leaderless cases. Finally, the simulation experiment is carried out, showing the effectiveness of the proposed theory.

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Section: Proof Constructing the Lyapunov Function Ismentioning

confidence: 99%