Stabilization of fractional bilinear systems with multiple inputs

DOI10.1007/S11766-023-3976-5zbMath1524.93046OpenAlexW4327608401MaRDI QIDQ6158071

Fawzi Omri, Fehmi Mabrouk, Thouraya Kharrat

Publication date: 31 May 2023

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-023-3976-5

zbMATH Keywords

stabilizationLyapunov functionsbilinear systemmultiple inputsfractional system

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Fractional derivatives and integrals (26A33)

Cites Work

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• An extension of estimation of domain of attraction for fractional order linear system subject to saturation control
• Fractional differential equations and Lyapunov functionals
• Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation
• Mittag-Leffler stability of fractional order nonlinear dynamic systems
• Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A `universal' construction of Artstein's theorem on nonlinear stabilization
• A new definition of fractional derivative
• Lyapunov functions for fractional order systems
• Adaptive Mittag-Leffler Stabilization of a Class of Fractional Order Uncertain Nonlinear Systems
• Stabilization with relaxed controls
• Robust stability and stabilization of uncertain fractional order systems subject to input saturation
• Stability and Stabilization of Fractional-Order Linear Systems Subject to Input Saturation

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