EXPONENTIAL STABILITY OF INFINITE DIMENSIONAL LINEAR SYSTEMS

Title & Authors
EXPONENTIAL STABILITY OF INFINITE DIMENSIONAL LINEAR SYSTEMS
Shin, Chang Eon;

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