Linearization method to stability analysis for nonlinear hyperbolic systems

Authors
Xu, CZ Feng, DX
Citation
Cz. Xu et Dx. Feng, Linearization method to stability analysis for nonlinear hyperbolic systems, CR AC S I, 332(9), 2001, pp. 809-814
Citations number
7
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
332
Issue
9
Year of publication
2001
Pages
809 - 814
Database
ISI
SICI code
0764-4442(20010501)332:9<809:LMTSAF>2.0.ZU;2-0
Abstract
It is shown that the linearization principle is true for a class of nonline ar hyperbolic systems with two independent variables, time and space. To ke ep 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 E lsevier SAS.