论文标题
Finsler歧管上增量稳定系统的进一步的几何和Lyapunov表征
Further Geometric and Lyapunov Characterizations of Incrementally Stable Systems on Finsler Manifolds
论文作者
论文摘要
在本文中，我们报告了Finsler和Riemannian歧管上增量稳定系统的几种新几何和Lyapunov表征。通过系统的完整提升，给出了重要定理的新的和内在的证据。基于此，得出了增量稳定系统的两个lyapunov特征，即相反收缩定理，以及平衡点的增量稳定性与稳定性之间的连接的启示，其中第二个结果恢复并扩展了经典的Krasovskii方法。
In this paper, we report several new geometric and Lyapunov characterizations of incrementally stable systems on Finsler and Riemannian manifolds. A new and intrinsic proof of an important theorem in contraction analysis is given via the complete lift of the system. Based on this, two Lyapunov characterizations of incrementally stable systems are derived, namely, converse contraction theorems, and revelation of the connection between incremental stability and stability of an equilibrium point, in which the second result recovers and extends the classical Krasovskii's method.
