论文标题
关于非线性采样数据系统的稳定性及其连续时间限制
On the stability of nonlinear sampled-data systems and their continuous-time limits
论文作者
论文摘要
这项工作涉及在不均匀采样下非线性采样数据系统的稳定性分析。它建立了给定（Aperiodic）采样瞬时序列的确切离散时间模型的稳定性与连续时间系统的稳定性属性之间的稳定性之间的关系，当时最大可允许的采样周期会收敛至零。这些结果可用于通过直接检查上述连续时间系统的稳定性来推断采样数据系统的稳定性，这通常比对闭环采样数据系统的分析更容易。与文献相比，我们的结果允许在现有结果仅保证实际稳定性的情况下证明非线性系统的更强（渐近）采样数据稳定性。
This work deals with the stability analysis of nonlinear sampled-data systems under nonuniform sampling. It establishes novel relationships between the stability property of the exact discrete-time model for a given sequence of (aperiodic) sampling instants and the stability property of the continuous-time system when the maximum admissible sampling period converges to zero. These results can be used to infer stability properties for the sampled-data system by direct inspection of the stability of the mentioned continuous-time system, a task which is typically easier than the analysis of the closed-loop sampled-data system. Compared to the literature, our results allow to prove stronger (asymptotic) sampled-data stability properties for nonlinear systems in cases for which existing results only guarantee practical stability.
