Positivity and stability of time-varying discrete-time and continuous-time linear systems and electrical circuits

Tadeusz Kaczorek

doi:10.1117/12.2197960

11 September 2015 Positivity and stability of time-varying discrete-time and continuous-time linear systems and electrical circuits

Tadeusz Kaczorek

Author Affiliations +

Proceedings Volume 9662, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2015; 966238 (2015) https://doi.org/10.1117/12.2197960
Event: XXXVI Symposium on Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments (Wilga 2015), 2015, Wilga, Poland

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.

Citation Download Citation

Tadeusz Kaczorek "Positivity and stability of time-varying discrete-time and continuous-time linear systems and electrical circuits", Proc. SPIE 9662, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments 2015, 966238 (11 September 2015); https://doi.org/10.1117/12.2197960

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