A CAD-based algorithm for solving stable parameter region of fractional-order systems with structured perturbations-Reference-Cited by-同舟云学术

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

Published:2019-04-01 Issue:2 Volume:22 Page:509-521
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Yang Jing¹,Hou Xiaorong¹,Luo Min²

Affiliation:

1. Control Science and Intelligent Systems Research Center School of Automation Engineering University of Electronic Science and Technology of China , No.2006, Xiyuan Ave, West Hi-Tech Zone , Chengdu , 611731 , P.R. China

2. School of Electrical Engineering and Information Southwest Petroleum University , No. 8, Xindu Road, Xindu District , Chengdu , 610500 , P.R. China

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2019-0030/pdf

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