arrow
Volume 6, Issue 4
The Computation of Common Infinity-norm Lyapunov Functions for Linear Switched Systems

Zheng Chen and Yan Gao

J. Info. Comput. Sci. , 6 (2011), pp. 261-268.

Export citation
  • 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.
  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@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:
Copy to clipboard
The citation has been copied to your clipboard