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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.

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