Positivity and stability of mixed fractional‐order systems with unbounded delays: Necessary and sufficient conditions

DOI10.1002/rnc.5256zbMath1525.93332OpenAlexW3093953919MaRDI QIDQ6061750

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Publication date: 31 October 2023

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.5256

zbMATH Keywords

asymptotic stabilityfractional differential equationspositive systemstime-varying delayslinear mixed fractional-order systems

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Delay control/observation systems (93C43) Positive control/observation systems (93C28)

Related Items (8)

Smallest asymptotic bound of solutions to positive mixed fractional-order inhomogeneous linear systems with time-varying delays ⋮ Optimal Control Problems Governed by Fractional Differential Equations with Control Constraints ⋮ Limiting behaviour of non-autonomous Caputo-type time-delay systems and initial-time on the real number line ⋮ Qualitative analysis of solutions to mixed-order positive linear coupled systems with bounded or unbounded delays ⋮ Separation of solutions and the attractivity of fractional-order positive linear delay systems with variable coefficients ⋮ Comparison principle for positive time-delay systems: an extension and its application ⋮ Analysis of positive fractional-order neutral time-delay systems ⋮ Asymptotic behaviour of solutions to non-commensurate fractional-order planar systems

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