Work

A dual notion to BIBO stability

Year: 2024

Type: article

Abstract: In this paper we consider BIBO stability of infinite-dimensional linear state-space systems and the related notion of $L^1$-to-$L^1$ input-output stability (abbreviated LILO). We show that in the case of finite-dimensional input and output spaces, both are equivalent and preserved under duality transformations. In the general case, neither of these properties is satisfied, but BIBO and LILO stability remain dual to each other.

Source: Journal of Mathematical Analysis and Applications

DOI: 10.1016/j.jmaa.2024.129156

Authors: Felix L. Schwenninger, Alexander A. Wierzba

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,100

OpenAlex ID: W4405287762

FWCI:

Cites: 23

Cited by:

Related to: 10