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Updated: Jan 29, 2026
07:57
Quantification of Protein Interaction Network Dynamics using Multiplexed Co-Immunoprecipitation
Published on: August 21, 2019
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Disturbance and uncertainty rejection performance for fractional-order complex dynamical networks
P Selvaraj1, O M Kwon1, R Sakthivel2
1School of Electrical Engineering, Chungbuk National University, 1 Chungdao-ro, Cheongju 28644, South Korea.
Summary
This study introduces a new fractional uncertainty and disturbance estimator (FUDE) for synchronizing time-delayed fractional-order complex dynamical networks. The FUDE strategy effectively handles uncertainties and disturbances for robust network synchronization.
Area of Science:
- Control Theory
- Dynamical Systems
- Fractional Calculus
Background:
- Complex dynamical networks are crucial in modeling various systems.
- Synchronization in these networks is vital but challenging due to uncertainties and delays.
- Fractional-order systems offer more complex dynamics than integer-order systems.
Purpose of the Study:
- To develop a robust synchronization strategy for time-delayed fractional-order complex dynamical networks.
- To address unknown bounded uncertainties and external disturbances.
- To propose a novel fractional uncertainty and disturbance estimator (FUDE) based control.
Main Methods:
- A fractional uncertainty and disturbance estimator (FUDE) based feedback control strategy.
- Integration of model uncertainties and external disturbance as a lumped disturbance.
- State-space framework design, avoiding frequency-based methods.
- Lyapunov stability theory and fractional calculus for linear matrix inequality conditions.
- Iterative optimization algorithm for enhanced robustness.
Main Results:
- Achieved robust synchronization of time-delayed fractional-order complex dynamical networks.
- Demonstrated precise rejection of unmodelled system uncertainty and external disturbance.
- Validated the effectiveness of the FUDE-based approach through numerical simulations, including a financial network model.
Conclusions:
- The proposed FUDE-based control strategy ensures robust synchronization for complex dynamical networks with time delays and uncertainties.
- The state-space design and LMI framework provide a clear and effective method for robust control.
- The findings have implications for understanding and controlling complex systems in various fields.
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