Sufficient Conditions of Robust Schur Stability for Uncertain 2-D Polynomials 被引量：4

Sufficient Conditions of Robust Schur Stability for Uncertain 2-D Polynomials

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摘要 Robust stability test algorithms of interval 2\|D polynomials and rank\|one polytope of 2\|D polynomials have been developed. To simplify the robust stability test procedure of interval 2\|D polynomials and rank on polytope of 2\|D polynomials, we introduce the definition of perturbation radius of 2\|D uncertain polynomials. Based on the perturbation radius of 2\|D polynomials, we establish sufficient conditions of robust Schur stability for the two kinds of uncertain 2\|D polynomials. Examples are given to illustrate the applicaton of our test theorems. Robust stability test algorithms of interval 2\|D polynomials and rank\|one polytope of 2\|D polynomials have been developed. To simplify the robust stability test procedure of interval 2\|D polynomials and rank on polytope of 2\|D polynomials, we introduce the definition of perturbation radius of 2\|D uncertain polynomials. Based on the perturbation radius of 2\|D polynomials, we establish sufficient conditions of robust Schur stability for the two kinds of uncertain 2\|D polynomials. Examples are given to illustrate the applicaton of our test theorems.

作者 XIAO Yang\+1\ \ DU Xi\|yu\+1\ \ Rolf Unbehauen\+2 1.Institute of Information Science, Northern Jiaotong University Beijing 100044, P.R.China 2. Institute of General and Theoretic Electronic\|Technique University of Erlangen\|Nürnberg Cauerstr.7, 910

出处《Systems Science and Systems Engineering》 CSCD 1999年第3期368-374,共7页 系统科学与系统工程学报（英文版）

基金 This w ork is supported by N S F C of P. R. China and D F G of Germ any.

关键词 uncertain 2\|D polynomials robust Schur stability analysis uncertain 2\|D polynomials robust Schur stability analysis

分类号 N94 [自然科学总论—系统科学]

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1Xiao Yang.2-D algebraic test for robust stability of time-delay systems with interval parameters[J].Journal of Systems Engineering and Electronics,2006,17(4):802-810. 被引量：4
2肖扬,KIM Kiseon.时滞偏微分方程系统的稳定性检验(英文)[J].应用科学学报,2008,26(6):655-660. 被引量：3
3XIAO Yang\ DU Xiyu Institute of Information Science, Northern Northern Jiaotong University, Beijing, 100044 Rolf Unbehuen is with Lehrstuhl f Allgemeine und Theoretische Elektrotechnik UniversitT Erlangen Nrnberg, Cauerstr.7, 91058, Germany.Improved 2-D Stability Margin Test for 2-D Discrete Systems[J].Systems Science and Systems Engineering,1998,8(2):100-105. 被引量：3

引证文献4

1Xiao YangInstitute of Information Science, Northern Jiaotong University, Beijing 100044, P.R. China(Received July 25, 2001).Stability Test for 2-D Continuous-Discrete Systems[J].Journal of Systems Engineering and Electronics,2002,13(2):22-27.
2肖扬.Robust stability test for 2-D continuous-discrete systems with interval parameters[J].Journal of Systems Engineering and Electronics,2004,15(3):337-343.
3Ying Zhu,Qina Gao,Yang Xiao.Sufficient conditions for stability of linear time-delay systems with dependent delays[J].Journal of Systems Engineering and Electronics,2013,24(5):845-851. 被引量：1
4肖扬,吴江,梁满贵.不确定二维多项式族的稳定性检验集合[J].系统科学与数学,2004,24(2):278-288.

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1999年第3期

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Sufficient Conditions of Robust Schur Stability for Uncertain 2-D Polynomials 被引量：4

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