Frequency criteria for exponential stability
Oran Gannot
TL;DR
This paper presents frequency-domain criteria for assessing the exponential stability of nonlinear feedback systems using dissipativity theory, with applications to convergence rates in perturbed harmonic oscillators.
Contribution
It introduces new frequency criteria for exponential stability analysis of nonlinear systems based on dissipativity theory.
Findings
Frequency criteria for nonlinear feedback system stability
Application to convergence rates in damped harmonic oscillators
Demonstration of criteria effectiveness in specific perturbation scenarios
Abstract
We discuss some frequency-domain criteria for the exponential stability of nonlinear feedback systems based on dissipativity theory. Applications are given to convergence rates for certain perturbations of the damped harmonic oscillator.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Numerical methods for differential equations · Control and Stability of Dynamical Systems