Necessary and sufficient conditions of the diagonal Riccati stability are derived for a class of pairs of matrices with special structures. The obtained conditions are used in the problems of analysis and synthesis of some types of time-delay systems. Results of numerical simulation are presented to illustrate the effectiveness of the proposed approaches.

Original languageEnglish
Pages (from-to)445-454
Number of pages10
JournalNonlinear Dynamics and Systems Theory
Volume19
Issue number4
StatePublished - 1 Jan 2019

    Scopus subject areas

  • Mathematical Physics
  • Applied Mathematics

    Research areas

  • Asymptotic stability, Complex sys- tem, Consensus, Delay, Diagonal stability, Lyapunov-Krasovskii functional

ID: 61006680