Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing 400715, China.
School of Automation, Huazhong University of Science and Technology, and Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China.
Neural Netw. 2018 Dec;108:192-201. doi: 10.1016/j.neunet.2018.08.013. Epub 2018 Aug 27.
In this paper, we discuss the exponential consensus problem of discrete-time multi-agent systems with non-linear dynamics via relative state-dependent impulsive protocols. Impulsive protocols of which the impulsive instants are dependent on the weighted relative states of any two agents are introduced for general discrete-time multi-agent systems. The analysis of such impulsive protocols is transformed into an investigation on reduced fixed-time impulsive protocols by constructing a map, which is achieved mainly by a derived B-equivalence method in discrete-time domain. Our main results indicate that the exponential consensus of the multi-agent systems via relative state-dependent impulsive protocols can be achieved if the reduced systems via fixed-time impulsive protocols can achieve exponential consensus, which need to satisfy suitable sufficient conditions. Numerical simulations are presented to support the theoretical results.
本文讨论了通过相对状态相关的脉冲协议来解决具有非线性动力学的离散时间多智能体系统的指数一致性问题。对于一般的离散时间多智能体系统，引入了脉冲协议，其中脉冲时刻依赖于任意两个智能体的加权相对状态。通过构造一个映射，将这种脉冲协议的分析转化为对简化的固定时间脉冲协议的研究，该映射主要通过离散时间域中的衍生 B 等价方法来实现。我们的主要结果表明，如果通过固定时间脉冲协议的简化系统能够实现指数一致性，那么通过相对状态相关的脉冲协议就可以实现多智能体系统的指数一致性，这需要满足合适的充分条件。数值模拟结果支持了理论结果。
