SIAM Journal on Control and Optimization, Volume 62, Issue 1, Page 22-41, February 2024.
Abstract. In this paper we consider bounded-input-bounded-output (BIBO) stability of systems described by infinite-dimensional linear state-space representations, filling the so far unattended gap of a formal definition and characterization of BIBO stability in this general case. Furthermore, we provide several sufficient conditions guaranteeing BIBO stability of a particular system and discuss to which extent this property is preserved under additive and multiplicative perturbations of the system.

中文翻译：

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无限维线性状态空间系统的BIBO稳定性

SIAM 控制与优化杂志，第 62 卷，第 1 期，第 22-41 页，2024 年 2 月。
摘要。在本文中，我们考虑由无限维线性状态空间表示描述的系统的有界输入有界输出（BIBO）稳定性，填补了这种一般情况下 BIBO 稳定性的正式定义和表征方面迄今为止无人关注的空白。此外，我们提供了几个保证特定系统的 BIBO 稳定性的充分条件，并讨论了在系统的加性和乘性扰动下该特性在多大程度上得以保留。