Stability of fractional positive continuous-time linear systems with state matrices in integer and rational powers | Zendy

Tadeusz Kaczorek | Zendy

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Stability of fractional positive continuous-time linear systems with state matrices in integer and rational powers

Author(s) -

Tadeusz Kaczorek

Publication year - 2017

Publication title -

bulletin of the polish academy of sciences technical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.35

H-Index - 41

eISSN - 2300-1917

pISSN - 0239-7528

DOI - 10.1515/bpasts-2017-0034

Subject(s) - eigenvalues and eigenvectors , integer (computer science) , mathematics , stability theory , stability (learning theory) , state (computer science) , positive systems , linear system , pure mathematics , mathematical analysis , nonlinear system , physics , computer science , quantum mechanics , algorithm , machine learning , programming language

The stability of fractional standard and positive continuous-time linear systems with state matrices in integer and rational powers is addressed. It is shown that the fractional systems are asymptotically stable if and only if the eigenvalues of the state matrices satisfy some conditions imposed on the phases of the eigenvalues. The fractional standard systems are unstable if the state matrices have at least one positive eigenvalue.

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