A Mittag-Leffler fractional-order difference observer
type: Item
instance of: scholarly article
title: A Mittag-Leffler fractional-order difference observer
zbMATH Open document ID: 1451.93137
author: Sergio M. Delfín Prieto
author: Rafael Martínez-Guerra
published in: Journal of the Franklin Institute
publication date: 2020-04-21T00:00:00Z
Mathematics Subject Classification ID: 93B53
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7191293
zbMATH Keywords: fractional-order difference observer
zbMATH Keywords: nonlinear systems
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: j.jfranklin.2019.12.009
OpenAlex ID: W2995288311
cites work: Nonlinear dynamics and chaos in fractional-order neural networks
cites work: Fractional-order exponential switching technique to enhance sliding mode control
cites work: The role of fractional calculus in modeling biological phenomena: a review
cites work: Design of optimal lighting control strategy based on multi-variable fractional-order extremum seeking method
cites work: Behavioural study of symbiosis dynamics via the Caputo and Atangana-Baleanu fractional derivatives
cites work: Modelling, analysis and simulations of some chaotic systems using derivative with Mittag-Leffler kernel
cites work: Discrete Fractional Calculus
cites work: Modeling with fractional difference equations
cites work: Self-organization with memory
cites work: On delta and nabla Caputo fractional differences and dual identities
cites work: Linear systems of fractional nabla difference equations
cites work: Compact finite difference method for the fractional diffusion equation
cites work: On the stability of some discrete fractional nonautonomous systems
cites work: Monotonicity results for fractional difference operators with discrete exponential kernels
cites work: Q2975402
cites work: Solutions of nabla fractional difference equations using \(N\)-transforms
cites work: Existence and uniqueness of solutions for nonlinear fractional nabla difference systems with initial conditions
cites work: Q4625376
cites work: Solutions of fractional nabla difference equations -- existence and uniqueness
cites work: A practical formula of solutions for a family of linear non-autonomous fractional nabla difference equations
cites work: Nabla discrete fractional calculus and nabla inequalities
cites work: On the series representation of nabla discrete fractional calculus
cites work: Robust stability analysis of fractional-order uncertain singular nonlinear system with external disturbance
cites work: Fractional controller based on a robust PIα observer for uncertain fractional systems
cites work: Q3463134
cites work: Discrete state space systems of fractional order
cites work: Liapunov functional and stability of linear nabla (q, h)-fractional difference equations
cites work: Lyapunov functions for Riemann-Liouville-like fractional difference equations
cites work: Perfect observers for fractional discrete-time linear systems
cites work: Reduced-order perfect nonlinear observers of fractional descriptor discrete-time nonlinear systems
cites work: A novel Mittag-Leffler stable estimator for nonlinear fractional-order systems: a linear quadratic regulator approach
cites work: A high-gain observer with Mittag-Leffler rate of convergence for a class of nonlinear fractional-order systems
cites work: Q4438520
cites work: Practical tracking control of linear motor via fractional-order sliding mode
cites work: Mittag-Leffler stability of fractional order nonlinear dynamic systems
cites work: Lyapunov functions for fractional order systems
cites work: Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
cites work: On the definitions of nabla fractional operators
cites work: Q4598664
cites work: Q3998992
cites work: Mittag-Leffler stability analysis of nonlinear fractional-order systems with impulses
cites work: Local observability and controllability of nonlinear discrete-time fractional order systems based on their linearisation
cites work: Observer design for a class of nonlinear systems
cites work: Stability regions for linear fractional differential systems and their discretizations
cites work: Observer design for systems with multivariable monotone nonlinearities
cites work: Discrete fractional calculus with the nabla operator
DOI: 10.1016/J.JFRANKLIN.2019.12.009
description: scientific article; zbMATH DE number 7191293