An impulsive state feedback control model for releasing white-headed langurs in captive to the wild

doi:10.1016/j.cnsns.2015.10.015

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	An impulsive state feedback control model for releasing white-headed langurs in captive to the wild
	Xu, Weijian 1; Chen, Lansun 2; Chen, Shidong 3; Pang, Guoping 1
	2016-05-01
发表期刊	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
ISSN	1007-5704
卷号	34 页码:199-209
摘要	In this paper, an impulsive state feedback control model for releasing white-headed langurs in captive to the wild is investigated. By using the geometric theory of semi-continuous dynamic system, the method of successor functions and the analogue of the Poincare criterion, it is proved that under certain conditions the system has an order-1 periodic solution with trajectory asymptotical stability, and this periodic solution remains above some critical value. The theoretical results are verified by the numerical simulations. The conclusion is that simultaneously taking the measures of both population migration and artificial breeding can effectively protect wild white-headed langurs, so that the population can continue to survive and can avoid becoming extinct. (C) 2015 Elsevier B.V. All rights reserved.
关键词	White-headed laugurs Artificial breeding Migration Impulsive state feedback control Model Order-1 periodic solution
DOI	10.1016/j.cnsns.2015.10.015
语种	英语
资助项目	National Natural Science Foundation of China[11361068] ; National Natural Science Foundation of China[11371306] ; National Natural Science Foundation of China[11161052]
WOS研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
WOS记录号	WOS:000365992200016
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21453
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, Weijian
作者单位	1.Yulin Normal Univ, Coll Math & Informat Sci, Guangxi Univ Key Lab Complex Syst Optimizat & Big, Yulin 537000, Guangxi, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Yulin Normal Univ, Coll Elect & Conmun Engn, Yulin 537000, Guangxi, Peoples R China
推荐引用方式 GB/T 7714	Xu, Weijian,Chen, Lansun,Chen, Shidong,et al. An impulsive state feedback control model for releasing white-headed langurs in captive to the wild[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2016,34:199-209.
APA	Xu, Weijian,Chen, Lansun,Chen, Shidong,&Pang, Guoping.(2016).An impulsive state feedback control model for releasing white-headed langurs in captive to the wild.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,34,199-209.
MLA	Xu, Weijian,et al."An impulsive state feedback control model for releasing white-headed langurs in captive to the wild".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 34(2016):199-209.