<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>A new class of fractional linear continuous-time linear systems described by state equations is introduced. The solution to the state equations is derived using the Laplace transform. Necessary and sufficient conditions are established for the internal and external positivity of fractional systems. Sufficient conditions are given for the reachability of fractional positive systems.</p></abstract>

A new class of fractional linear continuous-time linear systems described by state equations is introduced. The solution to the state equations is derived using the Laplace transform. Necessary and sufficient conditions are established for the internal and external positivity of fractional systems. Sufficient conditions are given for the reachability of fractional positive systems.

Fractional Positive Continuous-Time Linear Systems and Their Reachability

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

International Journal of Applied Mathematics and Computer Science

{"article-title":"Fractional Positive Continuous-Time Linear Systems and Their Reachability"}

A new class of fractional linear continuous-time linear systems described by state equations is introduced. The solution to the state equations is derived...

Fractional Positive Continuous-Time Linear Systems and Their Reachability

Published Online: Jun 16, 2008

Page range: 223 - 228

DOI: https://doi.org/10.2478/v10006-008-0020-0

Keywords
fractional systems, positive systems, reachability

This content is open access.

Fractional Positive Continuous-Time Linear Systems and Their Reachability

Published Online: Jun 16, 2008

Page range: 223 - 228

DOI: https://doi.org/10.2478/v10006-008-0020-0

Keywordsfractional systems, positive systems, reachability

This content is open access.

Keywords
fractional systems, positive systems, reachability