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NONUNIFORM POLYNOMIAL BEHAVIOR FOR LINEAR RANDOM ONE-SIDED DISCRETE-TIME SYSTEMS* FOR LINEAR RANDOM ONE-SIDED DISCRETE-TIME SYSTEMS*

Oana Albescu, Larisa Elena Biriș, Traian Ceaușu, Nicolae Marian Seimeanu

Source record

Source: Crossref

Published: Jan 1, 2026

DOI: 10.56082/annalsarscimath.2026.3.105

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Source abstract

This paper investigates the concepts of nonuniform polynomial stability and instability for linear random one-sided discrete-time systems. We establish necessary and sufficient conditions for these properties and provide Lyapunov-type characterizations in terms of Lyapunov functions and Lyapunov norms.

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NONUNIFORM POLYNOMIAL BEHAVIOR FOR LINEAR RANDOM ONE-SIDED DISCRETE-TIME SYSTEMS* FOR LINEAR RANDOM ONE-SIDED DISCRETE-TIME SYSTEMS* — Mathematical Frontier Network