On Delay-Dependent Conditions of ISS for Generalized Persidskii Systems

Wenjie Mei, Denis Efimov, Rosane Ushirobira, Emilia Fridman

Research output: Contribution to journalArticlepeer-review


In this paper, input-to-state stability and stabilization conditions in time-delay generalized Persidskii systems are studied. These conditions are formulated in terms of linear matrix inequalities, which may depend on delay values, and be local or global in state space. Numerical examples of opinion dynamics and the Lotka-Volterra model illustrate the efficiency of the proposed results.

Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalIEEE Transactions on Automatic Control
StateAccepted/In press - 2022


  • Delay effects
  • Delays
  • Lyapunov methods
  • Nonlinear dynamical systems
  • Numerical stability
  • Scholarships
  • Stability analysis


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