Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics

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Intermittent Control of Stochastic Time-delay Systems with Discrete-time Observation

DU Peng1,   SONG Gongfei1,2,   XIE Jiajie1   

  1. 1. School of Automation, Nanjing University of Information Science and Technology, Nanjing 210044

    2. Collaborative Innovation Center of Atmospheric Environment and Equipment Technology, Nanjing 210044

  • Received:2022-09-06 Accepted:2023-05-22 Online:2025-10-15 Published:2025-10-15
  • Supported by:
    The National Natural Science Foundation of China (61973170; 61973168).

Abstract:

In this paper, the problem of aperiodic intermittent control for nonlinear stochastic time-delay systems based on discrete-time observations is studied. Combining the discrete feedback control strategy with the intermittent control strategy, an aperiodic intermittent feedback controller for observing the state of the system in discrete time is designed, which makes the controlled system reach mean square exponential stability. The conditions for system stability are established through M-matrix theory and intermittent control strategy, and the mean square exponential stability of nonlinear stochastic time-delay systems is proved by Lyapunov function and It\^{o} formula. Finally, a numerical example was provided to demonstrate the correctness of the theoretical derivation.

Key words: nonlinearity, stochastic time-delay system, intermittent control, discrete-time observation, mean square exponential stability

CLC Number: