TY - JOUR
T1 - The Computation of Common Infinity-norm Lyapunov Functions for Linear Switched Systems
AU - Zheng Chen and Yan Gao
JO - Journal of Information and Computing Science
VL - 4
SP - 261
EP - 268
PY - 2024
DA - 2024/01
SN - 6
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22667.html
KW - Common Lyapunov functions, infinity-norm, switched systems 

AB -  This  paper  studies  the  problem  of  the  computation  of  common  infinity-norm  Lyapunov 
functions. For a set of continuous-time LTI systems or discrete-time LTI systems whose system matrices are 
upper triangular form or lower triangular form, it is proved that there exist common infinity-norm Lyapunov 
functions  for  them.  Then  four  algorithms  of  computing  common  infinity-norm  Lyapunov  functions  are 
presented. Finally, several examples are listed.