Stability and stabilization of a class of fractional-order nonlinear systems for \(0<\alpha< 2\)
type: Item
instance of: scholarly article
title: Stability and stabilization of a class of fractional-order nonlinear systems for \(0<\alpha< 2\)
zbMATH Open document ID: 1375.93102
author: Sunhua Huang
author: Bin Wang
published in: Nonlinear Dynamics
publication date: 2017-11-24T00:00:00Z
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C23
zbMATH DE Number: 6812431
zbMATH Keywords: fractional-order systems
zbMATH Keywords: nonlinear control
zbMATH Keywords: stabilization
zbMATH Keywords: S-procedure
zbMATH Keywords: Mittag-Leffler function
MaRDI profile type: Publication
full work available at URL: s11071-016-3288-x
OpenAlex ID: W2561606281
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality
cites work: Boundedness of weak solutions of a nondiagonal degenerate parabolic system of three equations
cites work: Mittag-Leffler Functions, Related Topics and Applications
cites work: Approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay by using Mainardi's function
cites work: Modeling and stability analysis of a fractional-order Francis hydro-turbine governing system
cites work: Finite-time stabilizing a fractional-order chaotic financial system with market confidence
cites work: Fractional electromagnetic equations using fractional forms
cites work: New results on stability and stabilization of a class of nonlinear fractional-order systems
cites work: Characteristic Analysis and DSP Realization of Fractional-Order Simplified Lorenz System Based on Adomian Decomposition Method
cites work: Design and implementation of grid multi-scroll fractional-order chaotic attractors
cites work: Stabilization of the unstable equilibrium points of the fractional-order BLDCM chaotic system in the sense of Lyapunov by a single-state variable
cites work: Stability of fractional order systems
cites work: LMI stability conditions for fractional order systems
cites work: Robust Stability and Stabilization of Fractional-Order Interval Systems: An LMI Approach
cites work: An extension of estimation of domain of attraction for fractional order linear system subject to saturation control
cites work: A Lyapunov approach to the stability of fractional differential equations
cites work: Lyapunov functions for fractional order systems
cites work: Lyapunov stability analysis of fractional nonlinear systems
cites work: Mittag-Leffler stability of fractional order nonlinear dynamic systems
cites work: Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks
cites work: Robust stabilization and synchronization of a class of fractional-order chaotic systems via a novel fractional sliding mode controller
cites work: A novel terminal sliding mode controller for a class of non-autonomous fractional-order systems
cites work: On the sliding-mode control of fractional-order nonlinear uncertain dynamics
cites work: Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
cites work: Application of Takagi-sugeno fuzzy model to a class of chaotic synchronization and anti-synchronization
cites work: Robust finite-time control of fractional-order nonlinear systems via frequency distributed model
cites work: Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
DOI: 10.1007/S11071-016-3288-X
description: scientific article; zbMATH DE number 6812431