Observability of linear \(q\)-difference fractional-order systems with finite initial memory

DOI10.2478/v10175-010-0061-zzbMath1219.93018OpenAlexW2033914152MaRDI QIDQ554326

Dorota Mozyrska, Ewa Pawłuszewicz

Publication date: 3 August 2011

Published in: Bulletin of the Polish Academy of Sciences. Technical Sciences (Search for Journal in Brave)

Full work available at URL: http://bulletin.pan.pl/(58-4)601.html

zbMATH Keywords

\(l\)-event\(l\)-memory initial value problemlinear \(q\)-difference fractional-order systemsobservability in \(s\)-steps

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Observability (93B07)

Related Items (4)

New applications of the variational iteration method -- from differential equations to \(q\)-fractional difference equations ⋮ Fractional discrete-time linear control systems with initialisation ⋮ Aspects of the Finite Step Observability of Fractional Order Discrete-Time Polynomial Systems ⋮ Synchronization of fractional-order discrete-time chaotic systems by an exact delayed state reconstructor: application to secure communication

Cites Work

• New reachability and observability tests for positive linear discrete-time systems
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On Observability of Nonlinear Discrete-Time Fractional-Order Control Systems
• Controllability and Observability of Linear Discrete-Time Fractional-Order Systems
• Fractional Positive Continuous-Time Linear Systems and Their Reachability
• Quantum calculus
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