Applying Dynamic Systems to Social Media by Using Controlling Stability

This study focuses on hybrid synchronization, a new synchronization phenomenon in which one element of the system is synced with another part of the system that is not allowing full synchronization and nonsynchronization to coexist in the system. When limt⟶∞Y−αX=0, where Y and X are the state vector...

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Bibliographic Details
Published in:Computational intelligence and neuroscience 2022-01, Vol.2022, p.4569879-7
Main Authors: Abdullah Hamad, Abdulsattar, Thivagar, M. Lellis, Bader Alazzam, Malik, Alassery, Fawaz, Hajjej, Fahima, Shihab, Ali A.
Format: Article
Language:English
Subjects:
Algorithms
Applied mathematics
Approximation
Computer Simulation
Control stability
Dynamic stability
Dynamical systems
Humans
Hybrid systems
Mathematical analysis
Nonlinear control
Nonlinear Dynamics
Nonsynchronization
Sensors
Social Media
State vectors
Synchronism
Synchronization
Vectors (mathematics)
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Summary:This study focuses on hybrid synchronization, a new synchronization phenomenon in which one element of the system is synced with another part of the system that is not allowing full synchronization and nonsynchronization to coexist in the system. When limt⟶∞Y−αX=0, where Y and X are the state vectors of the drive and response systems, respectively, and Wan (α = ∓1)), the two systems’ hybrid synchronization phenomena are realized mathematically. Nonlinear control is used to create four alternative error stabilization controllers that are based on two basic tools: Lyapunov stability theory and the linearization approach.
ISSN:1687-5265
1687-5273
DOI:10.1155/2022/4569879