Positivity and stability of fractional descriptor time-varying discrete-time linear systems

DOI10.1515/amcs-2016-0001zbMath1336.93100OpenAlexW2303805716MaRDI QIDQ285368

Tadeusz Kaczorek

Publication date: 19 May 2016

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/amcs-2016-0001

zbMATH Keywords

descriptor systemtime-varying systemdiscrete-time systemdecomposition of the regular pencilfractional systempositive systemWeierstrass-Kronecker theorem

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Matrix pencils (15A22)

Related Items (4)

Cauchy formula for the time-varying linear systems with Caputo derivative ⋮ Reduced-order perfect nonlinear observers of fractional descriptor discrete-time nonlinear systems ⋮ Robust controlled positive delayed systems with interval parameter uncertainties: a delay uniform decomposition approach ⋮ Global stability of nonlinear feedback systems with positive linear parts

Cites Work

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• Finite-time \(H_\infty\) control of a switched discrete-time system with average dwell time
• On the spectrum of discrete time-varying linear systems
• Lyapunov exponents for systems with unbounded coefficients
• Positive Linear Systems Consisting of $n$ Subsystems With Different Fractional Orders
• On the Lyapunov exponents of a class of second-order discrete time linear systems with bounded perturbations
• Positive 1D and 2D systems

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