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A new stability condition for second-order linear systems

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Abstract

Based on the Lyapunov Stability Theorem for linear systems, a very simple sufficient stability condition is derived for second-order linear systems in terms of the positive definiteness of the system coefficient matrices. This condition generalizes some known result and may have important applications in robust stability analysis and robust stabilization of uncertain second-order linear systems.

Original languageEnglish
Title of host publication2001 European Control Conference, ECC 2001
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3806-3809
Number of pages4
ISBN (Electronic)9783952417362
DOIs
StatePublished - 2001
Event6th European Control Conference, ECC 2001 - Porto, Portugal
Duration: 4 Sep 20017 Sep 2001

Publication series

Name2001 European Control Conference, ECC 2001

Conference

Conference6th European Control Conference, ECC 2001
Country/TerritoryPortugal
CityPorto
Period4/09/017/09/01

Keywords

  • Hurwitz stability
  • Second-order linear systems
  • symmetric positive definiteness

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