Stability of time-varying nonlinear switching systems under perturbations
Xiongping Dai, Yu Huang, Mingqing Xiao
TL;DR
This paper investigates the stability of time-varying nonlinear switching systems under perturbations using a Liao-type exponent, providing insights into their robustness and stability conditions.
Contribution
It introduces a novel application of Liao-type exponents to analyze the stability of such systems under perturbations.
Findings
Established stability criteria using Liao-type exponents
Demonstrated robustness of systems under specific perturbations
Provided theoretical conditions for stability in time-varying nonlinear switching systems
Abstract
Using a Liao-type exponent, we study the stability of a time-varying nonlinear switching system.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Stability and Control of Uncertain Systems · Advanced Differential Equations and Dynamical Systems