Max- and Sum-Separable Lyapunov Functions for Monotone Systems and Their Level Sets
Författare
Summary, in English
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.
Avdelning/ar
Publiceringsår
2014
Språk
Engelska
Sidor
2371-2377
Dokumenttyp
Konferensbidrag
Ämne
- Control Engineering
Conference name
53rd IEEE Conference on Decision and Control
Conference date
2014-12-15
Conference place
Los Angeles, CA, United States
Status
Published
Projekt
- LCCC
Forskningsgrupp
- LCCC
- ELLIIT