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Robust Hurwitz-Schur Stability Conditions of Polytopes of 2-D Polynomials
Yang Xiao * #
Beijing Jiaotong University
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金(No.69971002)
Opened online: 1 July 2005
Accepted by: none
Citation: Yang Xiao.Robust Hurwitz-Schur Stability Conditions of Polytopes of 2-D Polynomials[OL]. [ 1 July 2005] http://en.paper.edu.cn/en_releasepaper/content/2334
 
 
The characteristic polynomials of polytopes of recursive 2-D continuous-discrete systems are polytopes of bivariate (2-D) polynomials. Since the root domain of bivariate polynomials is in 2-D complex space, to be different from that of 1-D polynomials, the analysis for robust stability of polytopes of 2-D polynomials is much more complicated than 1-D case. To solve the problem of stability test of polytopes of recursive continuous-discrete systems, we establish necessary and sufficient conditions of robust Hurwitz-Schur stability of polytopes of bivariate polynomials. We show that the robust Hurwitz-Schur stability of a polytope of 2-D polynomials can be determined by testing the stability of the edges of the polytope. An example has been given to demonstrate the applicability of our new approach.
Keywords:polytopes of bivariate polynomials, robust Hurwitz-Schur stability, test theorems
 
 
 

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