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

Manfred Monari, George Stephanopoulos, Rutherford Aris

Research output: Contribution to journalArticle

4 Citations (Scopus)

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

Fingerprint

Lyapunov functions
Asymptotic stability
Large scale systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications

Cite this

FINITE STABILITY REGIONS FOR LARGE-SCALE SYSTEMS WITH STABLE AND UNSTABLE SUBSYSTEMS. / Monari, Manfred; Stephanopoulos, George; Aris, Rutherford.

In: International Journal of Control, Vol. 26, No. 5, 01.01.1977, p. 805-815.

Research output: Contribution to journalArticle

@article{3ef600d125944167a8405e132c433783,
title = "FINITE STABILITY REGIONS FOR LARGE-SCALE SYSTEMS WITH STABLE AND UNSTABLE SUBSYSTEMS.",
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.",
author = "Manfred Monari and George Stephanopoulos and Rutherford Aris",
year = "1977",
month = "1",
day = "1",
language = "English (US)",
volume = "26",
pages = "805--815",
journal = "International Journal of Control",
issn = "0020-7179",
publisher = "Taylor and Francis Ltd.",
number = "5",

}

TY - JOUR

T1 - FINITE STABILITY REGIONS FOR LARGE-SCALE SYSTEMS WITH STABLE AND UNSTABLE SUBSYSTEMS.

AU - Monari, Manfred

AU - Stephanopoulos, George

AU - Aris, Rutherford

PY - 1977/1/1

Y1 - 1977/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0017556291&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0017556291&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0017556291

VL - 26

SP - 805

EP - 815

JO - International Journal of Control

JF - International Journal of Control

SN - 0020-7179

IS - 5

ER -