Frequency boundary of fractional order systems with nonlinear uncertainties

DOI10.1016/J.JFRANKLIN.2013.05.010zbMath1392.93035OpenAlexW2003277004WikidataQ56925797 ScholiaQ56925797MaRDI QIDQ1659392

Bilal Senol, Celaleddin Yeroglu

Publication date: 15 August 2018

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2013.05.010

zbMATH Keywords

fractional order control systemsBode and Nyquist envelopesfrequency boundariesnonlinear uncertainty structures

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Control/observation systems with incomplete information (93C41) Frequency-response methods in control theory (93C80)

Related Items (11)

Analysis of a coupled system of fractional differential equations with non-separated boundary conditions ⋮ On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann-Stieltjes type integro-multipoint boundary conditions ⋮ System of fractional differential equations with Erdélyi-Kober fractional integral conditions ⋮ Robust stability of fractional order time-delay control systems: a graphical approach ⋮ New finite-time stability for fractional-order time-varying time-delay linear systems: a Lyapunov approach ⋮ Fuzzy fractional initial value problem ⋮ Coupled fractional-order systems with nonlocal coupled integral and discrete boundary conditions ⋮ On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions ⋮ Existence and Ulam-Hyers stability results of a coupled system of \(\psi\)-Hilfer sequential fractional differential equations ⋮ A system of coupled multi-term fractional differential equations with three-point coupled boundary conditions ⋮ Existence of solutions for a coupled system of Caputo type fractional-order differential inclusions with non-separated boundary conditions on multivalued maps

Uses Software

• CRONE
• Ninteger

Cites Work

• Unnamed Item
• Stability of fractional-order linear time-invariant systems with multiple noncommensurate orders
• Positive solutions of a fractional thermostat model
• A study of nonlinear Langevin equation involving two fractional orders in different intervals
• Robust stability analysis for a class of fractional order systems with uncertain parameters
• Fractional multiple birth-death processes with birth probabilities \(\lambda _i(\Delta t)^\alpha +o((\Delta t)^\alpha)\)
• Chaos in the fractional order unified system and its synchronization
• Anlogue realizations of fractional-order controllers.
• Robust stability and stabilization of fractional order interval systems with coupling relationships: the \(0<\alpha<1\) case
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers

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