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Positivity and Stability of Standard and Fractional Descriptor Continuous-Time Linear and Nonlinear Systems

  • Tadeusz Kaczorek ORCID logo EMAIL logo
Published/Copyright: February 2, 2018

Abstract

The positivity and stability of standard and fractional descriptor continuous-time linear and nonlinear systems are addressed. Necessary and sufficient conditions for the positivity of descriptor linear and sufficient conditions for nonlinear systems are established. Using an extension of Lyapunov method sufficient conditions for the stability of positive nonlinear systems are given. The considerations are extended to fractional nonlinear systems.

Acknowledgements

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

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Received: 2017-02-21
Accepted: 2018-01-16
Published Online: 2018-02-02
Published in Print: 2018-06-26

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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