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Static output feedback stabilization for second-order singular systems using model reduction methods

Applied Mathematics and Mechanics(English Edition) 2021年第3期42卷 457-466页

作者： Zheng WANG Yuhao CONG Xiulin HU Department of Mathematics Shanghai UniversityShanghai 200444China Shanghai Customs College Shanghai 201204China Department of Mathematics and Physics Hefei UniversityHefei 230601China

In this paper,the static output feedback stabilization for large-scale unstable second-order singular systems is ***,the upper bound of all unstable eigenvalues of second-order singular systems is ***,by using the argument principle,a computable stability criterion is proposed to check the stability of secondorder singular ***,by applying model reduction methods to original systems,a static output feedback design algorithm for stabilizing second-order singular systems is presented.A simulation example is provided to illustrate the effectiveness of the design algorithm.

关键词： second-order singular system static output feedback model reduction method argument principle

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Delay-dependent stability of linear multistep methods for differential systems with distributed delays

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Applied Mathematics and Mechanics(English Edition) 2018年第12期39卷 1837-1844页

作者： Yanpei WANG Yuhao CONG Guangda HU Department of Mathematics College of SciencesShanghai UniversityShanghai 200444China Shanghai Customs College Shanghai 201204China

This paper deals with the stability of linear multistep methods for multidimensional differential systems with distributed delays. The delay-dependent stability of linear multistep methods with compound quadrature rules is studied. Several new sufficient criteria of delay-dependent stability are obtained by means of the argument principle. An algorithm is provided to check delay-dependent stability. An example that illustrates the effectiveness of the derived theoretical results is given.

关键词： differential system with distributed delays delay-dependent stability linear multistep method argument principle

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A Note on the Uniqueness of Koebe–Andreev–Thurston Theorem

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Acta Mathematica Sinica,English Series 2012年第7期28卷 1469-1474页

作者： Xiao Jun HUANG Zi Peng WANG College of Mathematics and Statistics Chongqing University

In this paper, we present a new proof of the uniqueness of Koebe-Andreev-Thurston theorem. Our method is based on the argument principle in complex analysis and reviews the connection between the circle packing theore... 详细信息

关键词： Circle packing argument principle MSbius transformation

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DELAY-DEPENDENT STABILITY OF LINEAR MULTISTEP METHODS FOR NEUTRAL SYSTEMS WITH DISTRIBUTED DELAYS

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Journal of Computational Mathematics 2022年第3期40卷 484-498页

作者： Yuhao Cong Shouyan Wu Shanghai Customs College Shanghai 201204China Department of Mathematics Zhejiang International Studies UniversityHangzhou 310023China Department of Mathematics Shanghai Normal UniversityShanghai 200234China

This paper considers the asymptotic stability of linear multistep(LM)methods for neutral systems with distributed *** particular,several sufficient conditions for delay-dependent stability of numerical solutions are obtained based on the argument *** quadrature formulae are used to compute the *** algorithm is proposed to examine the delay-dependent stability of numerical *** numerical examples are performed to verify the theoretical results.

关键词： Neutral systems with distributed delays Linear multistep methods Delaydependent stability argument principle

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