具有状态时滞和死区的非线性多智能体系统一致性

Uniformity of Nonlinear Multi-agent Systems with State Delay and Dead Zone

本文研究了一种带有状态时滞和死区的非线性多智能体系统一致性控制问题。由于系统受死区的影响,本文设计了相应多智能体系统一致性控制器进行处理,并对控制器进行分类分析。其次本文通过假设来使函数满足Lipschitz条件以处理系统中的非线性因素。最后通过构造李雅普诺夫函数和使用牛顿莱布尼茨定理解决时滞对系统的影响,再根据对称矩阵和Kronecker积的性质,及Schur补引理证明了多智能体系统一致性。

This paper studies the problem of consistent control for a nonlinear multi-agent system with state delays and dead-zones. Due to the influence of dead-zones, corresponding consistent controllers for the multi-agent system are designed and the control protocols are classified and analyzed. In addition, this paper handles the nonlinear factors in the system by assuming the functions satisfy the Lipschitz condition. Finally, by constructing Lyapunov functions and utilizing the Newton-Leibniz theorem to deal with the effects of delays on the system, the consistency of the multi-agent system is proved based on the properties of symmetric matrix and Kronecker product, as well as the Schur complement lemma.