| Robust stability test for 2-D continuous-discrete systems with interval parameters |
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| 引用本文： | 肖扬. Robust stability test for 2-D continuous-discrete systems with interval parameters[J]. 系统工程与电子技术(英文版), 2004, 15(3) |
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| 作者姓名： | 肖扬 |
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| 作者单位： | Xiao Yang Institute of Information Science，Northern Jiaotong University，Beijing 100044，P. R. China |
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| 基金项目： | This project was supported by National Natural Science Foundation of China (69971002). |
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| 摘 要： | It is revealed that the dynamic stability of 2-D recursive continuous-discrete systems with interval parameters involves the problem of robust Hurwitz-Schur stability of bivariate polynomials family. It is proved that the Hurwitz-Schur stability of the denominator polynomials of the systems is necessary and sufficient for the asymptotic stability of the 2-D hybrid systems. The 2-D hybrid transformation, i. e. 2-D Laplace-Z transformation, has been proposed to solve the stability analysis of the 2-D continuous-discrete systems, to get the 2-D hybrid transfer functions of the systems. The edge test for the Hurwitz-Schur stability of interval bivariate polynomials is introduced. The Hurwitz-Schur stability of the interval family of 2-D polynomials can be guaranteed by the stability of its finite edge polynomials of the family. An algorithm about the stability test of edge polynomials is given.
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Robust stability test for 2-D continuous-discrete systems with interval parameters |
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| Xiao Yang Institute of Information Science,Northern Jiaotong University,Beijing ,P. R. China. Robust stability test for 2-D continuous-discrete systems with interval parameters[J]. Journal of Systems Engineering and Electronics, 2004, 15(3) |
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| Authors: | Xiao Yang Institute of Information Science Northern Jiaotong University Beijing P. R. China |
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| Affiliation: | Institute of Information Science,Northern Jiaotong University,Beijing 100044,P.R.China |
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| Abstract: | It is revealed that the dynamic stability of 2-D recursive continuous-discrete systems with interval parameters involves the problem of robust Hurwitz-Schur stability of bivariate polynomials family. It is proved that the Hurwitz-Schur stability of the denominator polynomials of the systems is necessary and sufficient for the asymptotic stability of the 2-D hybrid systems. The 2-D hybrid transformation, i. e. 2-D Laplace-Z transformation, has been proposed to solve the stability analysis of the 2-D continuous-discrete systems, to get the 2-D hybrid transfer functions of the systems. The edge test for the Hurwitz-Schur stability of interval bivariate polynomials is introduced. The Hurwitz-Schur stability of the interval family of 2-D polynomials can be guaranteed by the stability of its finite edge polynomials of the family. An algorithm about the stability test of edge polynomials is given. |
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| Keywords: | 2-D continuous-discrete systems 2-D Laplace-Z transformation interval parameters bivariate polynomials family Hurwitz-Schur stability. |
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