The Minimal State Space Realization for a Class of Fractional Order Transfer Functions

DOI10.1137/090753048zbMath1222.26014OpenAlexW1979273932MaRDI QIDQ3083223

Mahsan Tavakoli-Kakhki, Mohammad Haeri

Publication date: 21 March 2011

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090753048

zbMATH Keywords

minimal realizationfractional order transfer functionHadamard product-based transformationinner dimension

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Minimal systems representations (93B20) Dynamical systems in control (37N35)

Related Items (8)

A digraph approach to the state-space model realization of MIMO non-commensurate fractional order systems ⋮ State-space model realization for non-commensurate fractional-order systems based on Gleason's problem ⋮ Controllability and observability analysis of continuous-time multi-order fractional systems ⋮ Implementation of fractional-order transfer functions in the viewpoint of the required fractional-order capacitors ⋮ Geometric Control and Disturbance Decoupling for Fractional Systems ⋮ Minimal realization and approximation of commensurate linear fractional-order systems via Loewner matrix method ⋮ Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods ⋮ Arnoldi-based model reduction for fractional order linear systems

This page was built for publication: The Minimal State Space Realization for a Class of Fractional Order Transfer Functions