Title :
Global asymptotic stability of a nonlinear parabolic equation
Author_Institution :
Eastman Kodak Company, Rochester, NY, USA
fDate :
12/1/1978 12:00:00 AM
Abstract :
Necessary and sufficient conditions are derived for the asymptotic stability of a nonlinear parabolic equation. Spatial Fourier transformation converts the stability determination to that for an infinite system of ordinary differential equations, and facilitates approximate to exact solutions, depending on the boundary conditions, the nonlinearities, and the harmonic content of the steady-state disturbances.
Keywords :
Asymptotic stability; Asymptotic stability; Boundary conditions; Differential equations; Ear; H infinity control; Lyapunov method; Nonlinear equations; Nonlinear systems; Steady-state; Sufficient conditions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1978.1101899
