Invariant Set for a Special Class of Nonlinear Dynamical System

摘要：

This paper is concerned with the research on an invariant set for a special class of nonlinear dynamical system which is an improved model of the batch fermentation of glycerol to 1,3-Propanediol by KlebsiellaPneumonicae. Specially, according to a system given by Xiu in 9, we establish an improved system to describe the practical process. The properties of this system as well as the solution for it are studied. In addition, by employing a compare system and the monotonicity of components of state vector, we obtain a sufficient condition that can guarantee the existence of invariant set for the improved system.

作者: Feng Shan Enmin Feng Huiyuan Wang Zhilong Xiu

作者单位: Department of Science Shenyang Institute of Aeronautical Engineering Shenyang, 110034 P.R.China Department of Applied Mathematics Dalian University of Technology Dalian,116023 P.R.China Department of Applied Mathematics Dalian University of Technology Dalian, 116023 P.R.China Department of Biotechnology Dalian University of Technology Dalian,116023 P.R.China

会议类型: 国际会议

会议名称: Fourth International Conference on Impulsive and Hybrid Dynamical Systems(ICIHDS 2007)(第四届国际脉冲和混合动力系统学术会议)

会议地点: 南宁

会议语种:英文

在线出版日期: 2007-07-20（万方平台首次上网日期，不代表论文的发表时间）