Analysis of fractional order error models in adaptive systems: mixed order cases

DOI10.1515/FCA-2019-0058zbMath1441.93141OpenAlexW2981811673WikidataQ126992050 ScholiaQ126992050MaRDI QIDQ2175771

Norelys Aguila-Camacho, Javier A. Gallegos, Manuel A. Duarte-Mermoud

Publication date: 30 April 2020

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2019-0058

zbMATH Keywords

stabilitysimulationadaptive systemsmodel reference adaptive controlfractional systemsmixed order error models

Mathematics Subject Classification ID

Adaptive control/observation systems (93C40) Fractional derivatives and integrals (26A33) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

A modified Mikhailov stability criterion for a class of discrete-time noncommensurate fractional-order systems

Uses Software

• CRONE
• Ninteger

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modeling of financial processes with a space-time fractional diffusion equation of varying order
• Adaptive synchronization of fractional Lorenz systems using a reduced number of control signals and parameters
• A priori estimates for solutions of boundary value problems for fractional-order equations
• Boundedness and convergence on fractional order systems
• Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control
• Smooth solutions to mixed-order fractional differential systems with applications to stability analysis
• Lyapunov functions for fractional order systems
• Fractional calculus in economic growth modelling of the group of seven
• Fractional-order modelling and parameter identification of electrical coils
• Robustness and convergence of fractional systems and their applications to adaptive schemes
• Modelling heat transfer in heterogeneous media using fractional calculus
• Adaptive gain-order fractional control for network-based applications
• A Fractional Adaptation Scheme for Lateral Control of an AGV
• A new error model for adaptive systems
• Stable Adaptive Schemes for System Identification and Control-Part I
• Fractional adaptive systems in the presence of bounded disturbances and parameter variations
• Smoothness of Solutions of Volterra Integral Equations with Weakly Singular Kernels

This page was built for publication: Analysis of fractional order error models in adaptive systems: mixed order cases