Stability analysis of the interval systems based on linear matrix inequalities

Navid Razmjooy*, Mehdi Ramezani, Vânia Vieira Estrela, Hermes José Loschi, Douglas Aguiar do Nascimento

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

9 Citations (Scopus)


Positive definiteness and Hurwitz stability of the interval systems are discussed. A linear matrix inequality representation is introduced to simplify the analysis of the interval system. First, it is shown that the interval matrix can be stable if it has 2 conditions. Afterward, they converted to linear matrix inequalities for simplifying the conditions solution. A Lyapunov function is introduced to prove the new representation based on linear matrix inequalities.

Original languageEnglish
Title of host publicationProceedings of the 4th Brazilian Technology Symposium (BTSym’18) - Emerging Trends and Challenges in Technology
EditorsYuzo Iano, Hermes José Loschi, Rangel Arthur, Osamu Saotome, Vânia Vieira Estrela
Number of pages8
ISBN (Print)9783030160524
Publication statusPublished - 2019
Externally publishedYes
Event4th Brazilian Technology Symposium, BTSym 2018 - Campinas, Brazil
Duration: 23 Oct 201825 Oct 2018
Conference number: 4

Publication series

NameSmart Innovation, Systems and Technologies
ISSN (Print)2190-3018
ISSN (Electronic)2190-3026


Conference4th Brazilian Technology Symposium, BTSym 2018
Abbreviated titleBTSym 2018


  • Interval analysis
  • Kharitonov stability
  • Linear matrix inequality
  • Lyapunov stability
  • Stability analysis


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