Fractional order nonlinear systems with delay in iterative learning control

DOI10.1016/j.amc.2015.01.014zbMath1338.93179OpenAlexW2061896906MaRDI QIDQ300014

Li Yan, Jiang Wei

Publication date: 23 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.01.014

zbMATH Keywords

iterative learning controlgeneralized Gronwall inequalityfractional order with delay

Mathematics Subject Classification ID

Control/observation systems governed by ordinary differential equations (93C15) Fractional ordinary differential equations (34A08)

Related Items (26)

Boundary value problem for nonlinear fractional differential equations with delay ⋮ Analysis on PD^α iterative learning control algorithm for fractional differential nonlinear singular systems ⋮ Robust iterative learning control design for linear systems with time-varying delays and packet dropouts ⋮ The convergence of iterative learning control for some fractional system ⋮ Preview tracking control for a class of fractional-order linear systems ⋮ Fractional-order iterative learning control with initial state learning design ⋮ The effect of initial state error for nonlinear systems with delay via iterative learning control ⋮ Analysis of iterative learning control with high-order internal models for fractional differential equations ⋮ Convergence characteristics of PD-type and PDD^α-type iterative learning control for impulsive differential systems with unknown initial states ⋮ Lebesgue‐p NORM Convergence OF Fractional‐Order PID‐Type Iterative Learning Control for Linear Systems ⋮ Distributed formation control for multiple non-holonomic wheeled mobile robots with velocity constraint by using improved data-driven iterative learning ⋮ PID-type iterative learning control for impulsive ordinary differential equations ⋮ Second-order sliding mode control for nonlinear fractional-order systems ⋮ Iterative learning control for time-delay nonlinear hyperbolic distributed parameter systems ⋮ Convergence analysis for iterative learning control of fractional-order nonlinear differential inclusion system ⋮ Quantized iterative learning control for singular nonlinear fractional-order time-delay multi-agent systems with iteration-varying reference trajectories and switching topologies ⋮ Iterative learning control for locally Lipschitz nonlinear fractional-order multi-agent systems ⋮ Iterative learning control for MIMO parabolic partial difference systems with time delay ⋮ Lebesgue-\(p\) norm convergence analysis of PD\(^\alpha\)-type iterative learning control for fractional-order nonlinear systems ⋮ On boundary value problems for impulsive fractional differential equations ⋮ The convergence analysis of P-type iterative learning control with initial state error for some fractional system ⋮ Fractional order iterative learning control with randomly varying trial lengths ⋮ A new approach to feedback feed-forward iterative learning control with random packet dropouts ⋮ An accelerating iterative learning control based on an adjustable learning interval ⋮ Iterative learning control for fractional-order multi-agent systems ⋮ On local generalized Ulam-Hyers stability for nonlinear fractional functional differential equation

Cites Work

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• The controllability of fractional control systems with control delay
• Iterative learning control with initial state learning for fractional order nonlinear systems
• Iterative learning control design of nonlinear multiple time-delay systems
• Some results of the degenerate fractional differential system with delay
• The constant variation formulae for singular fractional differential systems with delay
• All-pass filtering in iterative learning control
• Linear and nonlinear iterative learning control
• Mittag-Leffler stability theorem for fractional nonlinear systems with delay
• Existence of mild solutions for fractional evolution equations
• Abstract Cauchy problem for fractional functional differential equations
• Fractional-order iterative learning control for fractional-order linear systems
• D^α‐Type Iterative Learning Control for Fractional‐Order Linear Time‐Delay Systems
• Basic Theory of Fractional Differential Equations

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