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Constraints and Statical Determinacy01:26

Constraints and Statical Determinacy

In structural engineering, the equilibrium of a system is not only determined by its equations of equilibrium but also with the help of constraints. Constraints refer to restrictions on the motion of a system. The proper combinations of constraints can minimize the total number of constraints needed to maintain a system in mechanical equilibrium. When this happens, the system is said to be statically determinate. For such systems, the unknown reaction supports can be estimated using equilibrium...
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Related Experiment Videos

Adaptive critic designs for event-based multi-agent systems with asymmetric constraints.

Wenting Yan1, Ding Wang1, Xinrui Ma1

  • 1School of Information Science and Technology, Beijing University of Technology, Beijing, 100124, China; Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing University of Technology, Beijing, 100124, China; Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing, 100124, China; Beijing Laboratory of Smart Environmental Protection, Beijing University of Technology, Beijing, 100124, China.

Neural Networks : the Official Journal of the International Neural Network Society
|May 19, 2026
PubMed
Summary

This study introduces an improved event-based distributed control mechanism for nonlinear multi-agent systems, enhancing consensus control with differing leader-follower models and conserving resources via an innovative triggering condition.

Keywords:
Adaptive critic designsAdaptive dynamic programmingEvent-based controlMulti-agent systemsNeural networks

Related Experiment Videos

Area of Science:

  • Control Systems Engineering
  • Artificial Intelligence
  • Networked Systems

Background:

  • Multi-agent systems (MAS) face challenges in achieving consensus, especially with heterogeneous leader-follower model structures.
  • Resource limitations in communication necessitate efficient control strategies.

Purpose of the Study:

  • To develop an improved event-based distributed control mechanism for continuous-time nonlinear multi-agent systems.
  • To address the consensus control problem in MAS with differing leader-follower model structures.
  • To enhance control efficiency and conserve communication resources.

Main Methods:

  • Adaptive critic control method
  • Development of an enhanced control strategy for heterogeneous MAS
  • Formulation of a non-quadratic function for asymmetric constraints
  • Introduction of an innovative event-triggered mechanism
  • Construction of critic neural networks for followers
  • Lyapunov stability analysis

Main Results:

  • An improved event-based distributed control mechanism was established.
  • A novel triggering condition was presented, avoiding Zeno behavior.
  • Near-optimal control laws were obtained via event-triggered critic neural networks.
  • Stability of synchronization and weight estimation errors was guaranteed using the Lyapunov method.

Conclusions:

  • The proposed mechanism effectively achieves consensus control in nonlinear multi-agent systems with heterogeneous models.
  • The event-triggered approach conserves communication resources and improves control efficiency.
  • Simulation results validate the effectiveness of the developed control strategy.