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<p>This paper proposes an aperiodically intermittent pinning discrete-time state observation consensus protocol as a novel control approach for achieving leader-following consensus in stochastic second-order nonlinear multi-agent systems. Unlike traditional periodically intermittent control, which relies on continuous-time state measurements, the proposed protocol uses discrete-time observations within the control intervals, making it more practical and resource-efficient. Furthermore, the design is based on the average control rate of intermittent control, which relaxes the restrictions imposed by previous consensus schemes. The communication network is not required to be strongly connected or to contain a rooted spanning tree, which enhances the generality of the approach. By combining graph-theoretic tools with Lyapunov analysis, we establish a sufficient condition to guarantee leader-following consensus. The proposed method is illustrated through applications to robot arm systems and stochastic coupled oscillator systems.</p>

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An Average Technique for Intermittent Pinning Discrete-Time Observation Control for Exponential Consensus of Second-Order Multi-agent Systems

  • 期刊论文

  • 发表日期：

    2026年4月13日

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  • Naiqin Zheng

摘要

This paper proposes an aperiodically intermittent pinning discrete-time state observation consensus protocol as a novel control approach for achieving leader-following consensus in stochastic second-order nonlinear multi-agent systems. Unlike traditional periodically intermittent control, which relies on continuous-time state measurements, the proposed protocol uses discrete-time observations within the control intervals, making it more practical and resource-efficient. Furthermore, the design is based on the average control rate of intermittent control, which relaxes the restrictions imposed by previous consensus schemes. The communication network is not required to be strongly connected or to contain a rooted spanning tree, which enhances the generality of the approach. By combining graph-theoretic tools with Lyapunov analysis, we establish a sufficient condition to guarantee leader-following consensus. The proposed method is illustrated through applications to robot arm systems and stochastic coupled oscillator systems.