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Max- and Sum-Separable Lyapunov Functions for Monotone Systems and Their Level Sets

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Author

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.

Publishing year

2014

Language

English

Pages

2371-2377

Document type

Conference paper

Topic

  • 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

Project

  • LCCC

Research group

  • LCCC
  • ELLIIT