Controllability and Observability of Linear Discrete-Time Fractional-Order Systems

DOI10.2478/v10006-008-0019-6zbMath1234.93014OpenAlexW2097015951MaRDI QIDQ3171677

Said Djennoune, Said Guermah, Maamar Bettayeb

Publication date: 5 October 2011

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207878

zbMATH Keywords

observabilitycontrollabilityreachabilitysystem modelingcontrollability and observability Gramiansdiscrete fractional state-space systems

Mathematics Subject Classification ID

Controllability (93B05) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Observability (93B07) Attainable sets, reachability (93B03)

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Cites Work

• Discrete-time systems with time-varying time delay: stability and stabilizability
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On linear systems with a fractional derivation: Introductory theory and examples
• State-space representation for fractional order controllers
• Solving an inverse heat conduction problem using a non-integer identified model
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