Linearization method to stability analysis for nonlinear hyperbolic systems

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	Linearization method to stability analysis for nonlinear hyperbolic systems
	Xu, CZ ; Feng, DX
	2001-05-01
发表期刊	COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN	0764-4442
卷号	332 期号:9 页码:809-814
摘要	It is shown that the linearization principle is true for a class of nonlinear hyperbolic systems with two independent variables, time and space. To keep clear exposition, our proof is based on the Saint Venant equation. More results can be proven by using the Lyapunov function candidate that we give here. (C) 2001 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000169424900006
出版者	ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16753
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, CZ
作者单位	1.Univ Metz, Inria, CORIDA, F-57045 Metz 01, France 2.Univ Metz, ESA, CNRS 7035, MMAS, F-57045 Metz 01, France 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, CZ,Feng, DX. Linearization method to stability analysis for nonlinear hyperbolic systems[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE,2001,332(9):809-814.
APA	Xu, CZ,&Feng, DX.(2001).Linearization method to stability analysis for nonlinear hyperbolic systems.COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE,332(9),809-814.
MLA	Xu, CZ,et al."Linearization method to stability analysis for nonlinear hyperbolic systems".COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 332.9(2001):809-814.