Max- and Sum-Separable Lyapunov Functions for Monotone Systems and Their Level Sets
Ito, Hiroshi ; Rüffer, Björn and Rantzer, Anders LU
(2014)
53rd IEEE Conference on Decision and Control
p.2371-2377
- Abstract
- For interconnected systems and systems of large size, aggregating information of subsystems studied individually is useful for addressing the overall stability. In the Lyapunov- based analysis, summation and maximization of separately constructed functions are two typical approaches in such a philosophy. This paper focuses on monotone systems which are common in control applications and elucidates some fun- damental limitations of max-separable Lyapunov functions in estimating domains of attractions. This paper presents several methods of constructing sum- and max-separable Lyapunov functions for second order monotone systems, and some comparative discussions are given through illustrative examples.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4926680
- author
- Ito, Hiroshi
; Rüffer, Björn
and Rantzer, Anders
LU
- organization
- publishing date
- 2014
- type
- Contribution to conference
- publication status
- published
- subject
- pages
- 2371 - 2377
- conference name
- 53rd IEEE Conference on Decision and Control
- conference location
- Los Angeles, CA, United States
- conference dates
- 2014-12-15
- external identifiers
-
- scopus:84978101649
- project
- LCCC
- language
- English
- LU publication?
- yes
- id
- b93fcb5d-11b7-4f19-959e-d52fa8c8201a (old id 4926680)
- date added to LUP
- 2016-04-04 13:51:13
- date last changed
- 2024-06-09 06:44:08
@misc{b93fcb5d-11b7-4f19-959e-d52fa8c8201a,
abstract = {{For interconnected systems and systems of large size, aggregating information of subsystems studied individually is useful for addressing the overall stability. In the Lyapunov- based analysis, summation and maximization of separately constructed functions are two typical approaches in such a philosophy. This paper focuses on monotone systems which are common in control applications and elucidates some fun- damental limitations of max-separable Lyapunov functions in estimating domains of attractions. This paper presents several methods of constructing sum- and max-separable Lyapunov functions for second order monotone systems, and some comparative discussions are given through illustrative examples.}},
author = {{Ito, Hiroshi and Rüffer, Björn and Rantzer, Anders}},
language = {{eng}},
pages = {{2371--2377}},
title = {{Max- and Sum-Separable Lyapunov Functions for Monotone Systems and Their Level Sets}},
year = {{2014}},
}