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BIBO stability of continuous and discrete -time systems

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Open and closed-loop control systems01:17

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Transfer Function in Control Systems01:21

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Related Experiment Video

Updated: May 31, 2026

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
11:54

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

Published on: May 8, 2021

Synchronization of continuous complex networks based on asynchronously discontinuous controllers.

Wenjun Xiong1, Wenwu Yu

  • 1Department of Mathematics, College of Science, Southwest Petroleum University, Chengdu, China. xwenjun2@gmail.com

Chaos (Woodbury, N.Y.)
|July 5, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces asynchronous discontinuous controllers (ADCs) for synchronizing linear coupled continuous complex network models (LCCNMs). These controllers address challenges in simultaneous data transmission and continuous operation, enabling network synchronization even with time delays.

Related Experiment Videos

Last Updated: May 31, 2026

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
11:54

Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface

Published on: May 8, 2021

Area of Science:

  • Control Systems Engineering
  • Network Science
  • Applied Mathematics

Background:

  • Complex networks are fundamental to many systems, but achieving synchronization in continuous models presents challenges.
  • Asynchronous control is crucial for real-world systems where components operate independently.
  • Existing synchronization methods may not adequately address the complexities of continuous network models with asynchronous controllers.

Purpose of the Study:

  • To design novel asynchronously discontinuous controllers (ADCs) for linear coupled continuous complex network models (LCCNMs).
  • To investigate and demonstrate the synchronization capabilities of these ADCs in LCCNMs.
  • To extend the analysis to include the impact of time-delays on network synchronization.

Main Methods:

  • Development of ADCs tailored for LCCNMs, considering asynchronous data transmission and discontinuous control actions.
  • Mathematical analysis and proof of synchronization criteria for the designed network models.
  • Inclusion and analysis of time-delays within the network models and controller design.

Main Results:

  • Successful design of ADCs capable of achieving synchronization in LCCNMs.
  • Demonstration that ADCs can effectively manage simultaneous transmission and continuous operation challenges.
  • Validation of synchronization in the presence of time-delays, confirming the robustness of the proposed controllers.

Conclusions:

  • ADCs provide an effective strategy for achieving synchronization in LCCNMs, even under asynchronous and discontinuous operational conditions.
  • The proposed control framework is robust and applicable to complex network models with time-delays.
  • This work contributes to the advancement of control theory for complex dynamical systems.