The Computation of Common Infinity-norm Lyapunov Functions for Linear Switched Systems
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@Article{JICS-6-261,
author = {Zheng Chen and Yan Gao},
title = {The Computation of Common Infinity-norm Lyapunov Functions for Linear Switched Systems},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {6},
number = {4},
pages = {261--268},
abstract = { 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.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22667.html}
}
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.
Zheng Chen and Yan Gao. (2024). The Computation of Common Infinity-norm Lyapunov Functions for Linear Switched Systems.
Journal of Information and Computing Science. 6 (4).
261-268.
doi:
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