Output contraction analysis of nonlinear systems
Abstract
This paper introduce the notion of output contraction that expands the contraction notion to the time-varying nonlinear systems with output. It pertains to the systems' property that any pair of outputs from the system converge to each other exponentially. This concept exhibits a more expansive nature when contrasted with another generalized contraction framework known as partial contraction. The first result establishes a connection between the output contraction of a time-varying system and the output exponential stability of its variational system. Subsequently, we derive a sufficient condition for achieving output contraction in time-varying systems by applying the output contraction Lyapunov criterion. Finally, we apply the results to analyze the output exponential stability of nonlinear time-invariant systems.
Cite
@article{arxiv.2312.06384,
title = {Output contraction analysis of nonlinear systems},
author = {Hao Yin and Bayu Jayawardhana and Stephan Trenn},
journal= {arXiv preprint arXiv:2312.06384},
year = {2023}
}