This article studies reachable set estimation for parameter uncertain systems with time delay. A new reachable set estimation method is proposed for nonlinear discrete‐time systems with parameter uncertainty and unknown but bounded disturbance. By analyzing Lyapunov‐Krasovskii functional, reachable set estimation is formulated to an optimization problem in terms of linear matrix inequalities. The proposed method not only can handle nonzero initial condition but also provide real‐time reachable set estimation. The effectiveness and superiority of the proposed method are illustrated by numerical simulations.

中文翻译：

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不确定时滞非线性系统的可达集估计

本文研究了具有时滞的参数不确定系统的可达集估计。针对具有参数不确定性和未知但有界干扰的非线性离散时间系统，提出了一种新的可达集估计方法。通过分析Lyapunov‐Krasovskii泛函，根据线性矩阵不等式将可达集估计公式化为优化问题。所提出的方法不仅可以处理非零初始条件，而且可以提供实时的可到达集合估计。数值仿真表明了该方法的有效性和优越性。