[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c150221

EXPONENTIAL STABILITY OF INFINITE DIMENSIONAL LINEAR SYSTEMS

Shin, Chang Eon (Department of Mathematics Sogang University)

Publication Information

Communications of the Korean Mathematical Society / v.31, no.3, 2016 , pp. 603-611 More about this Journal

Abstract

In this paper, we show that if $\mathcal{A}$ is a differential subalgebra of Banach algebras $\mathcal{B}({\ell}^r)$ , $1{\leq}r{\leq}{\infty}$ , then solutions of the infinite dimensional linear system associated with a matrix in $\mathcal{A}$ have its p-exponential stability being equivalent to each other for different $1{\leq}p{\leq}{\infty}$ .

Keywords

infinite matrix; differential subalgebra; Lyapunov equation; linear system; exponential stability;

Citations & Related Records

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