Further Geometric and Lyapunov Characterizations of Incrementally Stable Systems on Finsler Manifolds
IEEE transactions on automatic control(2022)
摘要
In this article, 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.
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关键词
Contraction analysis,converse Lyapunov theorems,Krasovskii’s method,Riemannian manifold
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