延迟周期动力系统的全球指数稳定性
动力系统
2009-11-13 v1
摘要
本文讨论了延迟周期动力系统,比较了基于各种 Lp (1≤p<∞) 范数的全球指数稳定性判据的能力。给出了一种基于各种 Lp (1≤p<∞) 范数研究全球指数稳定性的通用方法。同时也给出了确保全球指数稳定性的充分条件。对各种稳定性判据进行了比较。更重要的是,指出基于 L1 范数的充分条件已足够且易于在实践中实施。
引用
@article{arxiv.0707.2414,
title = {Global Exponential Stability of Delayed Periodic Dynamical Systems},
author = {Yanxu Zheng and Tianping Chen},
journal= {arXiv preprint arXiv:0707.2414},
year = {2009}
}
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