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On the Neighborhood in Stabilizing Period-T Orbits for Chaotic m Degree Polynomial Dynamical System

Communications in Nonlinear Science and Numerical Simulation 1998年第4期3卷 242-247页

作者： Enguo GU Jiong RUAN and Zhenxun HUANG (Institute of Mathematics, Fudan University, Shanghai 200433,China) Institute of Mathematics Fudan University Shanghai 200433 China

In this paper, a problem of stabilizing a period-T orbit in discrete Chaotic m degree polynomial dynamical systems is studied. The aim is to present a new method for determining the neighborhood of a period-T point in which the system remains stable when subjected to a linear feedback control. A theorem on the existence of neighborhood is rigorously proved using idea from functional analysis and polar coordinate *** ways of implementing the obtained theorem in the Henon map are proposed. Thevalidity of this method is shown by numerical simulation.

关键词： neighborhood of period-T orbit controlling chaotic discrete system gain matrix

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Controlling Chaotic Discrete System via the Improved Closed-loop Control

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Communications in Nonlinear Science and Numerical Simulation 1998年第3期3卷 134-139页

作者： Wei LIN Jiong RUAN and Zhenxun HUANG(Department of Mathematics, Fudan University. Shanghai 200433. China) Department of Mathematics Fudan University Shanghai 200433 China

In this paper. we use the improved closed-loop control method to realizethat the discrete chaotic system stabilizes to any arbitrarily chosen dynamics. We givethe strict proof as well as the general result of 2-dimensional system to show the feasibiltyof our method and criterion. Furthermore, the well-known Henon system is chosen foran example and the corresponding computer simulation results are given to support ourmethod.

关键词： controlling chaotic system gain matrix asymptotical stability

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Operation conditions design based on the qualitative and quantitative analysis for glycosylation reactions

Operation conditions design based on the qualitative and qua...

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第36届中国控制会议

作者： Yuhan Nan Jing Wang Jinlin Zhou Long Cheng College of Information Science and Technology Beijing University of Chemical Technology State key laboratory of management and control for complex systems Institute of AutomationChinese Academy of Sciences

ISBN: (纸本)9781538629185

Glycosylation reactions play a significant role on the targeted therapy of monoclonal antibody *** this paper,a new method implemented by combination of qualitative analysis and quantitative analysis is introduced to optimize the operating conditions of glycosylation reaction ***,gain matrix based on ANOVA design is presented to evaluate the relationship between reaction output（different glycan classes） and system input（glycosylation enzymes）.Due to the high dimension and high nonlinearity of glycosylation reactions,the singular value decomposition of process gain matrix is adopted to qualitatively analyze the effect of glycosylation enzymes in order to find the appropriate operation ***,genetic algorithm is used to quantitatively optimize the operation conditions for desired target of monoclonal antibody *** quantitative operation conditions are consistent with the reaction mechanism and qualitative analysis results of process gain.

关键词： Operating Conditions Optimization gain matrix Genetic Algorithm

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A Pole Assignment Design Method of Process Control System for Tubular Heat Exchanger

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Chinese Quarterly Journal of Mathematics 1992年第4期7卷 13-19页

作者：周清泉 Henan University

This Paper has first studied the simplified model of tubular heat exchanger which is widely used in the industry and other *** the basis of reference 2,a new pole assignment design method of pro-cess control system with derivative control action is *** the above system,the method and the for-mation which calculate the feedback matrix K and gain matrix L is given,and the simulation of the system is made.

关键词： tubular heat exchanger process control system pole assignment design method feedback matrix gain matrix

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