A CAD-based Algorithm for Solving Stable Parameter Region of Fractional-order Systems with Structured Perturbations

Based on cylindrical algebraic decomposition (CAD) technique, an algorithm for solving the stable parameter region of factional-order systems with structured perturbations (FOSSP) is presented. The algorithm is nonconservative and universal for fractional order systems with order 0 < α < 2. An...

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Published inFractional calculus & applied analysis Vol. 22; no. 2; pp. 509 - 521
Main Authors Yang, Jing, Hou, Xiaorong, Luo, Min
Format Journal Article
LanguageEnglish
Published Warsaw Versita 01.04.2019
De Gruyter
Nature Publishing Group
Subjects
34A08
34D10
68W30
93C73
93D09
Abstract Harmonic Analysis
Algorithms
Analysis
cylindrical algebraic decomposition
factional-order systems
Functional Analysis
Integral Transforms
Mathematics
Operational Calculus
Order parameters
Primary 26A33
Research Paper
Secondary 03C10
stability analysis
structured perturbations
68W30
Primary 26A33
34D10
factional-order systems
stability analysis
structured perturbations
93D09
cylindrical algebraic decomposition
Secondary 03C10
93C73
34A08
Online AccessGet full text
ISSN1311-0454
1314-2224
DOI10.1515/fca-2019-0030

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Summary:Based on cylindrical algebraic decomposition (CAD) technique, an algorithm for solving the stable parameter region of factional-order systems with structured perturbations (FOSSP) is presented. The algorithm is nonconservative and universal for fractional order systems with order 0 < α < 2. And the computational complexity of the algorithm is less than existing methods. Two examples are given to show the effectiveness of the proposed method.
Bibliography:ObjectType-Article-1
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ISSN:1311-0454
1314-2224
DOI:10.1515/fca-2019-0030