On Delay-Dependent Conditions of ISS for Generalized Persidskii Systems

Wenjie Mei*, Denis Efimov, Rosane Ushirobira, Emilia Fridman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this article, 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)4225-4232
Number of pages8
JournalIEEE Transactions on Automatic Control
Issue number7
StatePublished - 1 Jul 2023


  • Biological systems
  • delay systems
  • delay-dependent
  • feedback
  • generalized Persidskii systems
  • nonlinear systems
  • stability analysis


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