English

User manual and tutorial for ISIM1s: a tiny MATLAB package for single stage invariant manifold-guided impulsive stabilization of delay equations

Systems and Control 2021-02-16 v3 Systems and Control Optimization and Control

Abstract

ISIM1s consists of a few MATLAB functions and a script that can be used to derive stabilizing impulsive controllers for delay differential equations. This document serves as both a manual and tutorial on the functionality of the ISIM1s package. Brief background on the theoretically guaranteed stabilization scenario are provided before the primary MATLAB script is explained. The tutorial demonstrates how the package can be used to derive stabilizing impulsive controllers for delay differential equations of various complexity scales. Emphasis is placed on the role of various tuning parameters.

Keywords

Cite

@article{arxiv.1912.07766,
  title  = {User manual and tutorial for ISIM1s: a tiny MATLAB package for single stage invariant manifold-guided impulsive stabilization of delay equations},
  author = {Kevin E. M. Church},
  journal= {arXiv preprint arXiv:1912.07766},
  year   = {2021}
}