Theh-Difference Approach to Controllability and Observability of Fractional Linear Systems with Caputo-Type Operator

DOI10.1002/asjc.1034zbMath1338.93081OpenAlexW1960909376MaRDI QIDQ2813956

Dorota Mozyrska, Małgorzata Wyrwas, Ewa Pawłuszewicz

Publication date: 17 June 2016

Published in: Asian Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/asjc.1034

zbMATH Keywords

observabilitycontrollabilityoutput controllability\(h\)-difference linear systems with fractional orders\(h\)-fractional differenceCaputo-type \(h\)-difference operator

Mathematics Subject Classification ID

Controllability (93B05) Observability (93B07) Fractional ordinary differential equations (34A08)

Related Items (13)

Hardy-type inequalities in fractional \(h\)-discrete calculus ⋮ Remarks on fractional discrete cone control systems with \(n\)-orders and their stability ⋮ Different dimensional fractional-order discrete chaotic systems based on the Caputo \(h\)-difference discrete operator: dynamics, control, and synchronization ⋮ Implementation of fractional-order difference via Takenaka-Malmquist functions ⋮ Local observability and controllability of nonlinear discrete-time fractional order systems based on their linearisation ⋮ Constrained controllability of the \(h\)-difference fractional control systems with Caputo type operator ⋮ Aspects of the Finite Step Observability of Fractional Order Discrete-Time Polynomial Systems ⋮ Fractional order Hardy-type inequality in fractional h-discrete calculus ⋮ Synchronization of fractional-order discrete-time chaotic systems by an exact delayed state reconstructor: application to secure communication ⋮ Fractional Differential-Algebraic Systems with Delay: Computation of Final Dimension Initial Conditions and Inputs for Given Outputs ⋮ State feedback law for discrete-time fractional order nonlinear systems ⋮ Controllability and observability of time-invariant linear nabla fractional systems ⋮ Observability and Controllability Analysis for Micro‐Positioning Stage Described by Sandwich Model with Hysteresis

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• Initial value problems in discrete fractional calculus
• Overview of Fractional h-difference Operators
• Fractional discrete-time linear control systems with initialisation

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