<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>In the paper the problem of practical stability of linear positive discrete-time systems of fractional order is addressed. New simple necessary and sufficient conditions for practical stability and for practical stability independent of the length of practical implementation are established. It is shown that practical stability of the system is equivalent to asymptotic stability of the corresponding standard positive discrete-time systems of the same order. The discussion is illustrated with numerical examples.</p></abstract>

In the paper the problem of practical stability of linear positive discrete-time systems of fractional order is addressed. New simple necessary and sufficient conditions for practical stability and for practical stability independent of the length of practical implementation are established. It is shown that practical stability of the system is equivalent to asymptotic stability of the corresponding standard positive discrete-time systems of the same order. The discussion is illustrated with numerical examples.

Simple Conditions for Practical Stability of Positive Fractional Discrete-Time Linear Systems

Faculty of Electrical Engineering, Białystok Technical University, ul. Wiejska 45D, 15-351 Białystok, Poland

International Journal of Applied Mathematics and Computer Science

In the paper the problem of practical stability of linear positive discrete-time systems of fractional order is addressed. New simple necessary and sufficient...

Simple Conditions for Practical Stability of Positive Fractional Discrete-Time Linear Systems

Publié en ligne: 08 juil. 2009

Pages: 263 - 269

DOI: https://doi.org/10.2478/v10006-009-0022-6

Mots clés
linear system, positive, discrete-time, fractional, stability, practical stability

This content is open access.

Simple Conditions for Practical Stability of Positive Fractional Discrete-Time Linear Systems

Publié en ligne: 08 juil. 2009

Pages: 263 - 269

DOI: https://doi.org/10.2478/v10006-009-0022-6

Mots cléslinear system, positive, discrete-time, fractional, stability, practical stability

This content is open access.

Mots clés
linear system, positive, discrete-time, fractional, stability, practical stability