FINITE STABILITY REGIONS FOR LARGE-SCALE SYSTEMS WITH STABLE AND UNSTABLE SUBSYSTEMS.

Manfred Monari, George Stephanopoulos, Rutherford Aris

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

Algebraic criteria are derived to determine finite regions of asymptotic stability of time-varying non-linear large-scale systems composed of exponentially stable (unstable) subsystems. The interconnections among the subsystems can be arbitrary; sign-negative coupling is allowed. The approach uses a composite system Lyapunov function consisting of subsystem Lyapunov functions. The stability tests are confined to a bounded region of interest and theorems are given to check if this region is a region of asymptotic stability or if at least some smaller stability region exists. Two examples illustrate the method and demonstrate its superiority over previous works.

Original languageEnglish (US)
Pages (from-to)805-815
Number of pages11
JournalInternational Journal of Control
Volume26
Issue number5
StatePublished - Jan 1 1977
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

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