On the exponential convergence of input-output signals of nonlinear feedback systems

Lanlan Su; Di Zhao; Sei Zhen Khong

On the exponential convergence of input-output signals of nonlinear feedback systems

Systems and Control 2024-06-13 v3 Systems and Control Optimization and Control

Authors: Lanlan Su , Di Zhao , Sei Zhen Khong

Abstract

This note studies the exponential convergence of input-output signals of discrete-time nonlinear systems composed of a feedback interconnection of a linear time-invariant system and a nonlinear uncertainty. Both the open-loop subsystems are allowed to be unbounded. Integral-quadratic-constraint-based conditions are proposed for these uncertain feedback systems, including the Lurye type, to exhibit the property that the endogenous input-output signals enjoy an exponential convergence rate for all initial conditions of the linear time-invariant subsystem. The conditions are established via a combination of tools, including integral quadratic constraints, directed gap, and exponential weightings.

Keywords

nonlinear feedback systems exponential convergence input-output signals integral quadratic constraints linear time-invariant systems

Cite

@article{arxiv.2206.01945,
  title  = {On the exponential convergence of input-output signals of nonlinear feedback systems},
  author = {Lanlan Su and Di Zhao and Sei Zhen Khong},
  journal= {arXiv preprint arXiv:2206.01945},
  year   = {2024}
}

Comments

This paper has been submitted to IEEE Transactions on Automatic Control

On the exponential convergence of input-output signals of nonlinear feedback systems

Abstract

Keywords

Cite

Comments

Related papers