Title :
New conditions for the exponential stability of evolution equations
Author :
Hong, Keum-Shik ; Wu, Jinn-Wen ; Lee, Kyo-II
Author_Institution :
Dept. of Control and Mech. Eng., Pusan Nat. Univ., South Korea
fDate :
7/1/1994 12:00:00 AM
Abstract :
New conditions for the exponential stability for both linear nonautonomous finite and a class of infinite-dimensional systems described by parabolic partial differential equations (PDEs) are derived. The results for the parabolic systems are derived via semigroup approach
Keywords :
distributed parameter systems; linear systems; multidimensional systems; parabolic equations; partial differential equations; stability criteria; evolution equations; exponential stability; infinite-dimensional systems; linear nonautonomous finite-dimensional systems; parabolic partial differential equations; semigroup approach; Adaptive control; Adaptive systems; Asymptotic stability; Convergence; Ear; Hilbert space; Nonlinear systems; Partial differential equations; Programmable control;
Journal_Title :
Automatic Control, IEEE Transactions on
