TY - JOUR

T1 - Diagonal stability of a class of discrete-time positive switched systems with delay

AU - Aleksandrov, Alexander

AU - Mason, Oliver

PY - 2018/4/17

Y1 - 2018/4/17

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85044300997&partnerID=8YFLogxK

UR - http://arxiv.org/abs/1709.10171

UR - http://www.mendeley.com/research/diagonal-stability-class-discretetime-positive-switched-systems-delay

U2 - 10.1049/iet-cta.2017.1079

DO - 10.1049/iet-cta.2017.1079

M3 - Article

AN - SCOPUS:85044300997

VL - 12

SP - 812

EP - 818

JO - IET Control Theory and Applications

JF - IET Control Theory and Applications

SN - 1751-8644

IS - 6

ER -