Differential positivity on compact sets
Differential positivity on compact sets
复制标题
紧集上的微分正性
DOI：
10.1109/cdc.2015.7403220
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
F. Forni
中科院分区：
文献类型：
--
作者：
F. Forni
本文研究微分正系统，即沿任意轨迹沿着线性化为正的系统。推广了[7]中的结果，我们说明了利用紧前向不变集上的微分正性来刻画非线性和周期行为。给出了微分正性的几何条件。紧集的引入简化了微分正性在应用中的使用。
The paper studies differentially positive systems, that is, systems whose linearization along an arbitrary trajectory is positive. Extending the results in [7], we illustrate the use of differential positivity on compact forward invariant sets for the characterization of bistable and periodic behaviors. Geometric conditions for differential positivity are provided. The introduction of compact sets simplifies the use of differential positivity in applications.