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研究一类具有时滞和时变系数的离散多智能体系统的一致性问题.首先,通过构造合适的控制协议,并以第一个智能体的位移作为参考状态,将原系统的一致性问题转化为误差系统中零解的渐近稳定性问题;然后,运用矩阵范数理论研究误差系统零解的渐近稳定性,导出使多智能体系统实现一致的充分条件;最后,通过数值模拟验证了该判据的正确性和有效性.
This paper studies the consistency of a class of discrete multi-agent systems with time-varying and time-varying coefficients.Firstly, by constructing a suitable control protocol and taking the displacement of the first agent as a reference state, the consistency of the original system Then the asymptotic stability of zero solution in the error system is transformed into the problem of asymptotic stability of the zero solution in the error system. Then, the asymptotic stability of the zero solution of the error system is investigated by using the matrix norm theory, and the sufficient conditions for the realization of the multi-agent system are derived. Finally, The criterion is correct and effective.