Optimization control for mean square synchronization of stochastic semi-Markov jump neural networks with non-fragile hidden information and actuator saturation

  • 0College of Electrical and Information Engineering, Southwest Minzu University, Chengdu 610041, PR China.

Summary

This summary is machine-generated.

This study addresses control and synchronization for stochastic hidden semi-Markov jump neural networks with actuator saturation. A novel non-fragile controller ensures reliable synchronization despite uncertainties.

Area Of Science

  • Control Theory
  • Artificial Intelligence
  • Stochastic Systems

Background

  • Stochastic hidden semi-Markov jump neural networks (SMJNNs) present complex dynamics.
  • Actuator saturation and system uncertainties challenge reliable control.
  • Achieving robust synchronization in these networks is crucial.

Purpose Of The Study

  • To investigate asynchronous output feedback control and H∞ synchronization for SMJNNs.
  • To develop a non-fragile controller robust to uncertainties and mode mismatches.
  • To establish sufficient conditions for stochastic mean square synchronization (MSS).

Main Methods

  • A novel NN model integrating semi-Markov process (SMP), hidden information, and Brownian motion.
  • Design of a non-fragile controller leveraging hidden information for anti-interference.
  • Construction of a Lyapunov function based on SMP to ensure MSS within the domain of attraction.

Main Results

  • Sufficient conditions for achieving stochastic mean square synchronization (MSS) are derived.
  • The proposed non-fragile controller effectively mitigates uncertainties and enhances system reliability.
  • Demonstrated feasibility of the control strategy through numerical examples.

Conclusions

  • The developed control method ensures robust and reliable H∞ synchronization for complex SMJNNs.
  • The integration of SMP and hidden information provides a powerful framework for modeling and control.
  • The findings contribute to advancing control theory for uncertain stochastic systems.

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