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Robust model-reference control for descriptor linear systems subject to parameter uncertainties

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Control Theory and Technology 2007年第3期 213-220页

作者： Guangren DUAN 1, Biao ZHANG 1,2 (1.Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin Heilongjiang 150001, China 2.department of mathematics, Harbin Institute of Technology, Harbin Heilongjiang 150001, China)

Robust model-reference control for descriptor linear systems with structural parameter uncertainties is investigated. A sufficient condition for existing a model-reference zero-error asymptotic tracking controller is given. It is shown that the robust model reference control problem can be decomposed into two subproblems: a robust state feedback stabilization problem for descriptor systems subject to parameter uncertainties and a robust compensation problem. The latter aims to find three coefficient matrices which satisfy four matrix equations and simultaneously minimize the effect of the uncertainties to the tracking error. Based on a complete parametric solution to a class of generalized Sylvester matrix equations, the robust compensation problem is converted into a minimization problem with quadratic cost and linear constraints. A numerical example shows the effect of the proposed approach.

关键词： Descriptor linear systems Model-reference control Parameter uncertainties Robust stabilization Robust compensation

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一族亚纯函数的正规定则(英文)

西南师范大学学报（自然科学版） 2004年第1期29卷 22-24页

作者：王晓晶淮阴师范学院数学系

用简单的方法证明了亚纯函数族的一个正规定则:设F为单位圆盘上的一个亚纯函数族,a为非零有限复数.如果 f∈F,f的零点是重级的,并且f与f′分担a,则F正规.

关键词：亚纯函数正规定则分担值正规函数

The Hopf bifurcation of an extended Goodwin Lorenz's growth cycle model

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The Hopf bifurcation of an extended Goodwin Lorenz's growth ...

第十一届全国非线性振动学术会议暨第八届全国非线性动力学和运动稳定性学术会议

作者： Wei Li~1,Wei Xu~2,Junfeng Zhao~2,Haibo Wu~2 (1.Box 56,department of mathematics,School of Science,Xidian University,Xi’an Shaanxi 710071,P.R China 2.department of Applied mathematics,Northwestern Polytechnical University,Xi’an Shaanxi 710072,China)

On the basis of the work of Goodwin and Lorenz,we considered an extended Goodwin-Lorenz growth cycle model in this *** intro- ducing a delaying kernel function and changing the crucial parametric values,three and more dimensional economic dynamical systems can be derived from the Goodwin-Lorenz *** focus to detect the Hopf bifurcation by us-ing the Liu’s criterion at the positive equilibrium in the three-dimensional *** numerical results are given to assist the theoretic results.

关键词： Growth cycle Hopf bifurcation Delay

Oscillation Criteria for Second-order Nonlinear Delay Dynamic Equations with Damping on Time Scales

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Oscillation Criteria for Second-order Nonlinear Delay Dynami...

第三十届中国控制会议

作者： GAO Li~1,ZHANG Quanxin~2 1.department of mathematics and Information Science,Binzhou University,Shandong 256603,P.R.China 2.department of mathematics and Information Science,Binzhou University,Shandong 256603,P.R.China

＜正＞By using the generalized Riccati transformation and the inequality technique,we establish some new oscillation criteria for the second-order nonlinear delay dynamic equations with damping on time *** results not only extend and improve some known results,but also unify the oscillation of the second-order nonlinear differential equation with damping and the second-order nonlinear difference equation with damping.

关键词： Oscillation criterion Dynamic equations with damping Time scale

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线性规划的宽邻域预估校正算法

山东大学学报（理学版） 2009年第7期44卷 66-70,76页

作者：张莉张涛四川省高等学校数值仿真重点实验室四川内江641112 内江师范学院数学与信息科学学院四川内江641112

提出了一种新的内点算法——宽邻域预估校正算法。该算法基于经典预估校正算法思想,把窄邻域拓展到宽邻域里,使算法更快地迭代。给出了算法的具体步骤,讨论了其计算复杂性,分析结果表明,所给算法是一多项式时间算法。通过数值实验验证... 详细信息

提出了一种新的内点算法——宽邻域预估校正算法。该算法基于经典预估校正算法思想,把窄邻域拓展到宽邻域里,使算法更快地迭代。给出了算法的具体步骤,讨论了其计算复杂性,分析结果表明,所给算法是一多项式时间算法。通过数值实验验证算法的有效性。

关键词：线性规划宽邻域预估校正算法复杂度

Delay-dependent Robust Control for Uncertain Singular Systems with Time-delay:A New Method

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Delay-dependent Robust Control for Uncertain Singular System...

2010 Chinese Control and Decision Conference

作者： Qixun Lan~1,Huawei Niu~2 1.department of mathematics and Physics,Henan University of Urban Construction,Pingdingshan,467000,P.R.China 2.department of mathematics,Pingdingshan Institue of education,Pingdingshan,467000,P.R.China

＜正＞This paper discusses the problem of delay-dependent robust control for uncertain singular systems with ***,based on Jensen inequality formula and Lyapunov stability theory,the sufficient condition is established for delay-dependent singular system with time-delay,which guaranteed the nominal system is regular,impulse free and ***,based on the sufficient condition,the design method of robust state feedback controller for delay-dependent uncertain singular systems with time-delay,which guarantees that,for all admissible uncertainties,the resultant closed-loop system is regular,impulse free,and *** the obtained results are delay-dependent and formulated by strict LMI involving no decomposition of the system ***,numerical examples are given to illustrate the less conservativeness and effectiveness of the method.

关键词： Singular time-delay system Delay-dependent Robust control Linear matrix inequality

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变系数mKdV方程的对称群分类

华东理工大学学报（自然科学版） 2009年第6期35卷 947-951页

作者：黄定江梅建琴张鸿庆华东理工大学数学系上海200237 大连理工大学应用数学系辽宁大连116024

利用古典无穷小算法,等价性变换技巧和有限维抽象李代数的分类理论给出了变系数mKdV方程的对称群分类。证明了在一维和二维可解李代数情况下不变的方程分别为4个和6个。并进一步证明了不存在容许有三维及更高维李代数下不变的方程。

关键词：变系数mKdV方程群分类古典无穷小算法等价群抽象李代数

Stability and Stabilization of Stochastic Hybrid Systems with Nonlinear Disturbances

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Stability and Stabilization of Stochastic Hybrid Systems wit...

第二十七届中国控制会议

作者： Gao Yang 1,2,Mu Xiaowu 1,Zhao Wei 2 1.department of mathematics,Zhengzhou University,Zhengzhou,Henan 450002,P.R.China 2.department of mathematics,Daqing Normal University,Daqing,Heilongjiang 163712,P.R.China

In this paper,we have dealt with the problem for a class of stochastic hybrid *** the mean-square expone-ntial stability and the stabilization problems are treated.A state feedback controller is proposed to stabilize the class of hybrid *** conditions we developed are LMI form which is easy to calculate by Matlab *** examples are given to show the usefulness of the developed results.

关键词： Hybrid systems Stability Stabilization LMI Time-delay

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一类模糊映象的拟变分不等式

四川大学学报（自然科学版） 2003年第6期40卷 1007-1010页

作者：程莉四川大学数学学院

引入并研究了一类新的模糊映象的拟变分不等式,证明了这类拟变分不等式解的存在性,并构造了其迭代算法,最后证明了由此算法产生的迭代序列的收敛性,推广和改进了已知的相应结果.

关键词：模糊映象的拟变分不等式存在性收敛性强单调映象