Minimal realization and approximation of commensurate linear fractional-order systems via Loewner matrix method

DOI10.3934/mbe.2021058zbMath1471.93046OpenAlexW3118304743MaRDI QIDQ1981029

Xin Du, Umair Zulfiqar, Xu Yang, Lihong Meng

Publication date: 9 September 2021

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2021058

zbMATH Keywords

interpolationtime delayfractional-order systemcommensurate orderLoewner frameworkdata driven model reduction

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) System structure simplification (93B11) Algebraic methods (93B25) Realizations from input-output data (93B15)

Cites Work

• Data-driven interpolation of dynamical systems with delay
• Rational interpolation and state-variable realizations
• The Loewner framework and transfer functions of singular/rectangular systems
• A framework for the solution of the generalized realization problem
• Data-driven structured realization
• The Minimal State Space Realization for a Class of Fractional Order Transfer Functions
• Interpolatory Model Reduction of Large-Scale Dynamical Systems
• Data-Driven Model Order Reduction of Linear Switched Systems in the Loewner Framework
• Modeling Systems Based on Noisy Frequency and Time Domain Measurements
• Data-Driven Reduced Model Construction with Time-Domain Loewner Models
• Approximation of Large-Scale Dynamical Systems

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