Title :
Stability conditions for a class of distributed parameter systems
Author :
Nishimura, M. ; Kitamura, S.
Author_Institution :
Osaka University, Suita, Osaka, Japan
fDate :
2/1/1970 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1970.1099395
