Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639392 | Journal of Computational and Applied Mathematics | 2013 | 17 Pages |
Abstract
In this work, we shall study stability and stabilization of a class of retarded functional differential equations in Banach spaces. We present sufficient (and necessary, sometimes) conditions for weak, asymptotic and exponential stability properties. It is shown that retarded growth bounds are totally determined by retarded non-isolated spectra, isolated eigenvalues with infinite algebraic multiplicity and spectral bounds. Stabilization problem via compact perturbations, a topic which is practically useful in the context of control theory of dynamical systems, is considered as well.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Kai Liu, Liangjian Hu, Jiaowan Luo,