Peer-Reviewed Journal Details
Mandatory Fields
Aleksandrov A.;Mason O.
2018
April
IET Control Theory and Applications
Diagonal stability of a class of discrete-time positive switched systems with delay
Published
9 ()
Optional Fields
12
6
812
818
© The Institution of Engineering and Technology 2018. 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
10.1049/iet-cta.2017.1079
Grant Details