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On convergence conditions for generalized Persidskii systems
Author(s) -
Mei Wenjie,
Efimov Denis,
Ushirobira Rosane,
Aleksandrov Alexander
Publication year - 2022
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5979
Subject(s) - convergence (economics) , discretization , mathematics , class (philosophy) , matrix (chemical analysis) , computer science , mathematical analysis , materials science , artificial intelligence , economics , composite material , economic growth
The convergence conditions for a class of generalized Persidskii systems and their discretized dynamics are introduced, which can be checked through linear (matrix) inequalities. The case of almost periodic convergence for this class of systems with almost periodic input is also studied. The proposed results are applied to a Lotka–Volterra model and opinion dynamics.