The direct method of Lyapunov for nonlinear dynamical systems with fractional damping

DOI10.1007/s11071-020-05962-3zbMath1517.34096OpenAlexW3100474008MaRDI QIDQ6117151

Remco I. Leine, André Schmidt, Matthias Hinze

Publication date: 16 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-020-05962-3

zbMATH Keywords

invariance principleLyapunov functionalfunctional differential equationtracking controlfractional dampingspringpot

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability theory of functional-differential equations (34K20) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Control problems for functional-differential equations (34K35) Dynamical systems in classical and celestial mechanics (37N05) Functional-differential equations with fractional derivatives (34K37)

Related Items (3)

The Melnikov criterion of instability for random rocking of a rigid block with a fractional derivative element ⋮ Limited frequency band diffusive representation for nabla fractional order transfer functions ⋮ Pseudo‐Lyapunov methods for Grünwald‐Letnikov and initialized fractional systems

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