English

$L_2$ and BIBO stability of systems with variable delays

Dynamical Systems 2020-03-16 v1 Optimization and Control

Abstract

This paper considers L2L_2 and BIBO stability and stabilization issues for systems with time-varying delays which can be of retarded or neutral type. An important role is played by a nominal system with fixed delays which are close to the time-varying ones. Under stability or stabilizability conditions of this nominal system, sufficient conditions are given in order to ensure similar properties for the system with time-varying delays.

Keywords

Cite

@article{arxiv.2003.06196,
  title  = {$L_2$ and BIBO stability of systems with variable delays},
  author = {Catherine Bonnet and Jonathan R. Partington},
  journal= {arXiv preprint arXiv:2003.06196},
  year   = {2020}
}

Comments

14 pages. In memory of Ruth Curtain

R2 v1 2026-06-23T14:13:46.297Z