Synchronization of Stochastic Complex Dynamical Networks Subject to Consecutive Packet Dropouts

Area of Science:

• Control Systems Engineering
• Network Science
• Stochastic Systems

Background:

• Stochastic complex dynamical networks are crucial in various fields.
• Packet dropouts pose significant challenges to network stability and synchronization.
• Existing methods often overlook the probabilistic nature of consecutive packet losses.

Purpose of the Study:

• To develop a novel modeling approach for stochastic complex dynamical networks with consecutive packet dropouts.
• To design a probability-distribution-dependent controller for achieving global exponential synchronization.
• To reduce conservatism in synchronization control for such networks.

Main Methods:

• Establishing an error dynamical network incorporating stochastic and bounded delays using the step-delay method.
• Introducing a new modeling technique to capture the probability characteristics of consecutive packet dropouts.
• Deriving sufficient conditions for global exponential synchronization in the mean square sense.

Main Results:

• The proposed model effectively reflects the probability of consecutive packet dropouts.
• Sufficient conditions for global exponential synchronization were established.
• A probability-distribution-dependent controller design procedure was successfully developed.

Conclusions:

• The proposed modeling and control strategy ensures global exponential synchronization for stochastic complex dynamical networks with consecutive packet dropouts.
• The method demonstrates reduced conservatism compared to existing approaches.
• Numerical simulations validate the effectiveness and robustness of the proposed synchronization technique.