Lyapunov functions for random semi‐dynamical systems in terms of tempered exponential splitting

Popa, Ioan‐Lucian

doi:10.1002/mma.6769

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Introduction and Preliminary Results1

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2022

2024

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Cited by 3 publications

(1 citation statement)

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“…In this line, in the present work we consider random discrete-time systems which are defined only on the semi-axes, the so-called one-sided systems. Key arguments and motivation in this direction for considering such systems, that is non-invertible systems have been presented in [21] and [15].…”

Section: Introduction and Preliminary Resultsmentioning

confidence: 99%

"Lyapunov Conditions for One-Sided Discrete-Time Random Dynamical Systems"

BIRIŞ¹,

CEAUŞU²,

Popa³

et al. 2022

CJM

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"This paper considers nonuniform exponential stability and nonuniform exponential instability concepts for one-sided discrete-time random dynamical systems. These concepts are generalizations from the deterministic case. Using this, characterizations in terms of Lyapunov functions respectively Lyapunov norms are presented. Also, an approach in terms of considered concepts for the inverse and adjoint random discrete- time systems is derived."

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Section: Introduction and Preliminary Resultsmentioning

confidence: 99%

"Lyapunov Conditions for One-Sided Discrete-Time Random Dynamical Systems"

BIRIŞ¹,

CEAUŞU²,

Popa³

et al. 2022

CJM

View full text Add to dashboard Cite

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On Lyapunov functions for random one‐sided systems in terms of nonuniform exponential stability with applications

Albescu,

Elena Biris,

Ceausu

et al. 2024

Math Methods in App Sciences

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In this study, we investigate the nonuniform exponential stability and nonuniform exponential instability concepts for a linear random one‐sided system. We derive necessary and sufficient conditions for these concepts. As an extension for this study, we establish Lyapunov‐type characterizations using Lyapunov functions and Lyapunov norms. Additionally, we illustrate the essential properties that are derived in these directions for the adjoint and inverse systems associated for the original linear random one‐sided system.

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