Routh table test for stability of commensurate fractional degree polynomials and their commensurate fractional order systems
Sheng-Guo WANG
Shu LIANG
Liang MA
Kaixiang PENG
摘要：A Routh table test for stability of commensurate fractional degree polynomials and their commensurate fractional order systems is presented via an auxiliary integer degree polynomial.The presented Routh test is a classical Routh table test on the auxiliary integer degree polynomial derived from and for the commensurate fractional degree polynomial.The theoretical proof of this proposed approach is provided by utilizing Argument principle and Cauchy index.Illustrative examples show efficiency of the presented approach for stability test of commensurate fractional degree polynomials and commensurate fractional order systems.So far,only one Routh-type test approach [1] is available for the commensurate fractional degree polynomials in the literature.Thus,this classical Routh-type test approach and the one in [1] both can be applied to stability analysis and design for the fractional order systems,while the one presented in this paper is easy for peoples,who are familiar with the classical Routh table test,to use.
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资助基金：This work was supported in part by the US National Science Foundation(1115564)North Carolina Department of Transportation (NCDOT) Research Grant(.RP2013-13.RP2016-16.RP2016-19.RP2018-40)in part by the China Scholarship Council (CSC) scholarship of 2013-2014 and Prof.Wang's NCDOT Research Grant (No.RP2013-13)the Fundamental Research Funds for the China Central Universities of USTB (No.FRF-TP-17-088A1)the National Natural Science Foundation of China (No.61873024)
论文发表日期：2019-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：10( 297-306 )
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