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Diagonal stability of a class of discrete-time positive switched systems with delay. / Aleksandrov, Alexander; Mason, Oliver.

In: IET Control Theory and Applications, Vol. 12, No. 6, 17.04.2018, p. 812-818.

Research output: Contribution to journal › Article › peer-review

Harvard

Aleksandrov, A & Mason, O 2018, 'Diagonal stability of a class of discrete-time positive switched systems with delay', IET Control Theory and Applications, vol. 12, no. 6, pp. 812-818. https://doi.org/10.1049/iet-cta.2017.1079

APA

Aleksandrov, A., & Mason, O. (2018). Diagonal stability of a class of discrete-time positive switched systems with delay. IET Control Theory and Applications, 12(6), 812-818. https://doi.org/10.1049/iet-cta.2017.1079

Vancouver

Aleksandrov A, Mason O. Diagonal stability of a class of discrete-time positive switched systems with delay. IET Control Theory and Applications. 2018 Apr 17;12(6):812-818. https://doi.org/10.1049/iet-cta.2017.1079

Author

Aleksandrov, Alexander ; Mason, Oliver. / Diagonal stability of a class of discrete-time positive switched systems with delay. In: IET Control Theory and Applications. 2018 ; Vol. 12, No. 6. pp. 812-818.

BibTeX

@article{cda52609d82c4bc5a5af3d3ac8a5c12b,
title = "Diagonal stability of a class of discrete-time positive switched systems with delay",
abstract = "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.",
author = "Alexander Aleksandrov and Oliver Mason",
year = "2018",
month = apr,
day = "17",
doi = "10.1049/iet-cta.2017.1079",
language = "English",
volume = "12",
pages = "812--818",
journal = "IET Control Theory and Applications",
issn = "1751-8644",
publisher = "Institution of Engineering and Technology",
number = "6",

}

RIS

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 -

ID: 29124953