DocumentCode
802604
Title
Stability conditions for a class of distributed parameter systems
Author
Nishimura, M. ; Kitamura, S.
Author_Institution
Osaka University, Suita, Osaka, Japan
Volume
15
Issue
1
fYear
1970
fDate
2/1/1970 12:00:00 AM
Firstpage
145
Lastpage
146
Abstract
Stability of a distributed parameter system which is described by nonlinear parabolic equations with constant coefficients is studied by using Lyapunov´s method. Sufficient conditions for the asymptotic stability of the null solution are reduced to the conditions related to the system matrices and the positive definite condition of a certain matrix in the frequency domain.
Keywords
Distributed systems, nonlinear; Lyapunov methods; Asymptotic stability; Automatic control; Bismuth; Boundary conditions; Distributed parameter systems; Frequency domain analysis; Linear systems; Nonlinear equations; Partial differential equations; Symmetric matrices;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1970.1099395
Filename
1099395
Link To Document