Work

Further Geometric and Lyapunov Characterizations of Incrementally Stable Systems on Finsler Manifolds

Year: 2021

Type: article

Abstract: 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.

Source: IEEE Transactions on Automatic Control

DOI: 10.1109/tac.2021.3122377

Authors: Dongjun Wu, Guang-Ren Duan

Institution: Harbin Institute of Technology

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

OpenAlex ID: W3209487986

FWCI: 0.778

Cites: 30

Cited by: 11

Related to: 10