POSTA 2016: Positive Systems pp 201-211 | Cite as

Positivity Analysis of Continuous 2D Fornasini-Marchesini Fractional Model

Chapter
First Online:
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 471)

Abstract

In the chapter continuous Fornasini-Marchesini type model containing partial fractional-order derivatives described by the Caputo definition will be considered. General solution formula to the state-space equations of the model will be given. Using this solution formula the positivity of such system will be analyzed and the conditions under which the system is internally positive will be derived. Considerations will be illustrated by numerical simulations.

Keywords

Fractional-order systems Two-dimensional systems General solution formula Positive systems 
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Notes

Acknowledgements

This work was supported by National Science Centre in Poland under work No. 2014/13/B/ST7/03467.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Faculty of Electrical EngineeringBialystok University of TechnologyBialystokPoland

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