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Synchronization of hybrid switching diffusions delayed networks via stochastic event-triggered control
Hui Zhou1, Shufan Li1, Chunmei Zhang2
1Department of Mathematics, Harbin Institute of Technology-Weihai, Weihai 264209, PR China.
This study introduces a novel event-triggered control for stochastic complex networks with time delays. It achieves reliable synchronization by using a stochastic sequence for triggering, avoiding the Zeno phenomenon.
Area of Science:
- Control Theory
- Network Synchronization
- Stochastic Systems
Background:
- Stochastic complex networks with time delays (SCNTH) present significant control challenges.
- Existing event-triggered control methods often lack realism for stochastic systems.
Purpose of the Study:
- To develop a novel event-triggered control strategy for SCNTH.
- To ensure robust synchronization under hybrid switching diffusions and time delays.
- To introduce a more realistic triggering mechanism for stochastic systems.
Main Methods:
- Design of a new event-triggered function.
- Utilization of sampled-data control and event-driven control theory.
- Application of stability analysis for synchronization guarantees.
Main Results:
- Sufficient conditions derived for asymptotical synchronization in mean square.
- Guarantees for exponential synchronization in mean square and almost surely.
- Demonstration of Zeno phenomenon avoidance.
- Successful application to single-link robot arm synchronization.
Conclusions:
- The proposed event-triggered control is effective for SCNTH synchronization.
- The stochastic triggering sequence offers a realistic advancement.
- The methodology is validated through a practical robotic system example.
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