Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
type: Item
instance of: scholarly article
title: Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
zbMATH Open document ID: 1333.34007
author: Manuel A. Duarte-Mermoud
author: Norelys Aguila-Camacho
author: Javier A. Gallegos
author: R. Castro-Linares
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2016-01-26T00:00:00Z
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 6535593
zbMATH Keywords: fractional calculus
zbMATH Keywords: uniform stability of fractional order systems
zbMATH Keywords: fractional extension of Lyapunov direct method
zbMATH Keywords: general quadratic Lyapunov functions
zbMATH Keywords: fractional adaptive systems
MaRDI profile type: Publication
full work available at URL: j.cnsns.2014.10.008
OpenAlex ID: W2030959812
cites work: Q5699297
cites work: Fractional system identification for lead acid battery state of charge estimation
cites work: Fractional modelling and identification of thermal systems
cites work: Fractional order adaptive high-gain controllers for a class of linear systems
cites work: On fractional adaptive control
cites work: Using fractional order adjustment rules and fractional order reference models in model-reference adaptive control
cites work: A Fractional Adaptation Scheme for Lateral Control of an AGV
cites work: Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
cites work: Lyapunov functions for fractional order systems
cites work: Q4344481
cites work: Stability analysis of fractional-order nonlinear systems with delay
cites work: Stability of \(q\)-fractional non-autonomous systems
cites work: Uniform stability of fractional neutral systems: a Lyapunov-Krasovskii functional approach
cites work: Q4003793
cites work: Q3012189
DOI: 10.1016/J.CNSNS.2014.10.008
description: scientific article; zbMATH DE number 6535593