Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

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:
author
; and
organization
publishing date
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
2021-10-06 01:39:32
@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},
}