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New Conditions and Numerical Checking Method for the Practical Stability of Fractional Order Positive Discrete-Time Linear Systems

  • Hongli Yang EMAIL logo and Yuexiao Jia
Published/Copyright: March 13, 2019

Abstract

Practical stability of a fractional order discrete-time linear state-space systems was put up in recent years. It is usually checked by the eigenvalues of the state matrix, some methods have been given during these years. But if the size of the state matrix is large, the computations of eigenvalues can be very onerous. In this paper, some new conditions on practical stability for positive fractional discrete-time linear system are presented. Numerically checking method of practical stability is presented based on the new conditions given in this paper. It is illustrated by the numerical examples that our checking method is effective and true. Compared to the now existing methods, numerically checking method is an attractive method because it’s easily implemented.

PACS: 2010; 02.30.Yy

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Received: 2018-03-18
Accepted: 2019-02-20
Published Online: 2019-03-13
Published in Print: 2019-05-26

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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