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Proceedings Paper

Positivity and stability of time-varying discrete-time and continuous-time linear systems and electrical circuits
Author(s): Tadeusz Kaczorek
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Paper Abstract

The positivity and asymptotic stability of time-varying discrete-time and continuous-time linear systems and electrical circuits are addressed. Necessary and sufficient conditions for the positivity of the time-varying linear systems and electrical circuits are established. Using the extension to positive fractional systems of the Lyapunov method the asymptotic stability of positive systems and electrical circuits is shown. Conditions for the positivity of descriptor time-varying discrete-time linear systems are established. Examples of positive and asymptotically stable systems and electrical circuits are presented.

Paper Details

Date Published: 11 September 2015
PDF: 26 pages
Proc. SPIE 9662, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2015, 966238 (11 September 2015); doi: 10.1117/12.2197960
Show Author Affiliations
Tadeusz Kaczorek, Bialystok Univ. of Technology (Poland)


Published in SPIE Proceedings Vol. 9662:
Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2015
Ryszard S. Romaniuk, Editor(s)

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