Numerical simulation of the fractional-order control system

DOI10.1007/BF02831971zbMath1130.93029OpenAlexW2129964093MaRDI QIDQ874340

Fawang Liu, Xin Cai

Publication date: 5 April 2007

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

Full work available at URL: https://doi.org/10.1007/bf02831971

zbMATH Keywords

stabilityconvergencenumerical approximationCaputo derivativeconsistencefractional control systemmulti-term

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Stability and convergence of numerical methods for ordinary differential equations (65L20) Spaces of measures, convergence of measures (28A33) Control/observation systems governed by ordinary differential equations (93C15) Singular perturbations of functional-differential equations (34K26)

Related Items (7)

Parametric design of optimal in average fractional-order PID controller in flight control problem ⋮ Unnamed Item ⋮ Fractional integro-differential calculus and its control-theoretical applications. II. fractional dynamic systems: modeling and hardware implementation ⋮ An algorithm for the numerical solution of nonlinear fractional-order van der Pol oscillator equation ⋮ Analysis of resonance and bifurcation in a fractional order nonlinear Duffing system ⋮ Two computational algorithms for the numerical solution for system of fractional differential equations ⋮ Optimal Control Problem for Fractional Dynamic Systems – Linear Quadratic Discrete-Time Case

Uses Software

• Sprott's Software

Cites Work

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• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Chaos in fractional-order autonomous nonlinear systems.
• Numerical solution of the space fractional Fokker-Planck equation.
• The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations.
• Stabilization of generalized fractional order chaotic systems using state feedback control
• On quadratic fractional generalized solid bi-criterion transportation problem
• Time fractional diffusion: A discrete random walk approach

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