Superposition theorems for input-to-output stability of infinite dimensional systems

Titelangaben

Bachmann, Patrick ; Dashkovskiy, Sergey ; Mironchenko, Andrii:
Superposition theorems for input-to-output stability of infinite dimensional systems.
In: 2024 IEEE 63rd Conference on Decision and Control (CDC) : Proceedings. - Piscataway, NJ, USA : IEEE , 2024 . - S. 3434-3439
ISBN 979-8-3503-1633-9
DOI: https://doi.org/10.1109/CDC56724.2024.10886548

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Abstract

We characterize input-to-output stability of a general class of both continuous-time and discrete-time infinite dimensional systems in terms of weaker stability properties. Our results generalize the corresponding criteria for ordinary differential equations achieved by Ingalls et al. [1] and those for infinite dimensional systems for which the output equals the state [2]. This way, we investigate the relation between several stability and attractivity properties for infinite dimensional systems with outputs by providing the according implications and giving counterexamples, respectively.