Nonuniform power instability and Lyapunov sequences
Ioan-Lucian Popa, Traian Ceausu, Mihail Megan
TL;DR
This paper establishes necessary and sufficient conditions for nonuniform power instability in linear discrete-time systems within Banach spaces, utilizing Lyapunov sequences for characterization.
Contribution
It provides a novel characterization of nonuniform power instability through Lyapunov sequences and offers comprehensive conditions for this property.
Findings
Characterization of nonuniform power instability via Lyapunov sequences
Necessary and sufficient conditions for instability in Banach spaces
New insights into stability analysis of discrete-time systems
Abstract
The aim of this paper is to present necessary and sufficient conditions for nonuniform power instability property of linear discrete-time systems in Banach spaces. A characterization of the nonuniform power instability in terms of Lyapunov sequences is also given.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Numerical methods for differential equations · Nonlinear Differential Equations Analysis