Open AccessDiagonal stability of a class of discrete‐time positive switched systems with delay
Author(s) -
Aleksandrov Alexander,
Mason Oliver
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.1079
Subject(s) - diagonal , mathematics , class (philosophy) , control theory (sociology) , algebraic number , discrete time and continuous time , stability (learning theory) , mathematical analysis , computer science , control (management) , statistics , geometry , artificial intelligence , machine learning
A class of discrete‐time non‐linear positive time‐delay switched systems with sector‐type non‐linearities is studied. Sufficient conditions for the existence of common and switched diagonal Lyapunov–Krasovskii (L–K) functionals for this system class are derived; these are expressed as feasibility conditions for systems of linear algebraic inequalities. Corresponding spectral conditions for the existence of common L–K functionals are also described. Furthermore, it is shown that the proposed approaches can be applied to discrete‐time models of digital filters and neural networks. Finally, a numerical example is given to illustrate the effectiveness of theoretical results.