%0 Electronic Article
%A Alexander Aleksandrov
%A Oliver Mason
%K neural networks
%K digital filters
%K discrete-time nonlinear positive time-delay switched systems
%K diagonal stability
%K linear algebraic inequalities
%K Lyapunov-Krasovskii functionals
%K sector-type nonlinearities
%K discrete-time positive switched systems
%X 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.
%@ 1751-8644
%T Diagonal stability of a class of discrete-time positive switched systems with delay
%B IET Control Theory & Applications
%D April 2018
%V 12
%N 6
%P 812-818
%I Institution of Engineering and Technology
%U https://digital-library.theiet.org/;jsessionid=5nfrpa4v1lvfh.x-iet-live-01content/journals/10.1049/iet-cta.2017.1079
%G EN