A note on power instability of linear discrete-time systems in Banach spaces
Ioan-Lucian Popa
TL;DR
This paper explores the stability properties of linear discrete-time systems in Banach spaces, providing necessary and sufficient conditions for various types of power instability.
Contribution
It introduces a comprehensive analysis of power instability concepts and establishes precise criteria for their occurrence in linear systems within Banach spaces.
Findings
Characterization of uniform power instability
Criteria for power instability
Conditions for strong power instability
Abstract
In this paper we investigate the power instability properties and give necessary and sufficient conditions for the concepts of uniform power instability, power instability and strong power instability for linear discrete-time system in Banach spaces.
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Taxonomy
TopicsNumerical methods for differential equations · Stability and Control of Uncertain Systems · Control and Stability of Dynamical Systems