Sufficient conditions for asymptotic Liapunov stability of special system of linear differential equations with constant coefficients

Amrahov Ş.

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, vol.31, no.6, pp.545-548, 2002 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 6
  • Publication Date: 2002
  • Doi Number: 10.1080/0308107021000061876
  • Journal Name: INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.545-548
  • Keywords: asymptotic stability, Sylvester criterion, gas transportation and distribution, matrix
  • Ankara University Affiliated: No

Abstract

The sufficient conditions for asymptotic Liapunov stability of block 2n x 2n matrices, which consist of four n x n matrices, are presented. These conditions are applied to the special system arising in connection with optimization problems for gas transportation and distribution.