A CAD-based algorithm for solving stable parameter region of fractional-order systems with structured perturbations

DOI10.1515/FCA-2019-0030zbMath1427.93088OpenAlexW2947428528MaRDI QIDQ2328623

Min Luo, Xiaorong Hou, Jing Yang

Publication date: 10 October 2019

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2019-0030

zbMATH Keywords

stability analysiscylindrical algebraic decompositionstructured perturbationsfactional-order systems

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Fractional derivatives and integrals (26A33) Robust stability (93D09) Algebraic methods (93B25) Computational difficulty of problems (lower bounds, completeness, difficulty of approximation, etc.) (68Q17) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (4)

A new approach based on the discriminant system of polynomial for robust stability and stabilization of two-dimensional systems ⋮ A parameter space method for analyzing Hopf bifurcation of fractional-order nonlinear systems with multiple-parameter ⋮ Robust stability of fractional-order systems with mixed uncertainties: the \(0<\alpha<1\) case ⋮ Exact bounds for robust stability of output feedback controlled fractional‐order systems with single parameter perturbations

Uses Software

• FOC

Cites Work

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