Sufficient conditions for asymptotic stability and stabilization of autonomous fractional order systems
type: Item
instance of: scholarly article
title: Sufficient conditions for asymptotic stability and stabilization of autonomous fractional order systems
author: Bichitra Kumar Lenka
author: Soumitro Banerjee
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2020-10-21T00:00:00Z
Mathematics Subject Classification ID: 00-XX
zbMATH DE Number: 7263248
zbMATH Keywords: autonomous fractional order systems
zbMATH Keywords: asymptotic stability
zbMATH Keywords: stabilization
zbMATH Keywords: fractional order Lorenz system
describes a project that uses: Sprott's Software
describes a project that uses: Fractional Order Chaotic Systems
MaRDI profile type: Publication
full work available at URL: j.cnsns.2017.08.005
OpenAlex ID: W2746207388
cites work: Recent history of fractional calculus
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: Applications of fractional calculus in physics
cites work: Q5699297
cites work: Q3577391
cites work: Robust stability check of fractional order linear time invariant systems with interval uncertainties
cites work: Robust Stability and Stabilization of Fractional-Order Interval Systems: An LMI Approach
cites work: Recent applications of fractional calculus to science and engineering
cites work: Stability analysis of linear fractional differential system with multiple time delays
cites work: A note on the stability of fractional order systems
cites work: Mittag-Leffler stability of fractional order nonlinear dynamic systems
cites work: Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
cites work: Stability analysis of Caputo fractional-order nonlinear systems revisited
cites work: Stability analysis of fractional differential system with Riemann-Liouville derivative
cites work: Stability analysis of fractional differential systems with order lying in \((1, 2)\)
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: Fractional dynamical system and its linearization theorem
cites work: Analytic study on linear systems of fractional differential equations
cites work: Asymptotic stability and stabilization of a class of nonautonomous fractional order systems
cites work: Q4919382
cites work: Complex nonlinear dynamics in subdiffusive activator-inhibitor systems
cites work: Stability of Fractional-Order Systems with Rational Orders
cites work: Fractional-order nonlinear systems. Modeling, analysis and simulation
cites work: Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
cites work: Stability analysis and limit cycle in fractional system with Brusselator nonlinearities
cites work: Chaos in fractional-order autonomous nonlinear systems.
cites work: Chaos in Chen's system with a fractional order
cites work: Dynamic analysis of a fractional-order Lorenz chaotic system
cites work: A necessary condition for double scroll attractor existence in fractional-order systems
cites work: Chaotic attractors in incommensurate fractional order systems
cites work: Chaos in the fractional-order Lorenz system
cites work: Stabilization of unstable fixed points of chaotic fractional order systems by a state fractional PI controller
cites work: Chaotic incommensurate fractional order Rössler system: active control and synchronization
cites work: SYNCHRONIZATION OF CHAOTIC FRACTIONAL-ORDER SYSTEMS VIA LINEAR CONTROL
cites work: Chaos in the fractional order Chen system and its control
cites work: On chaos control and synchronization of the commensurate fractional order Liu system
cites work: Feedback control and hybrid projective synchronization of a fractional-order Newton-Leipnik system
cites work: Chaos, control and synchronization of a fractional order rotational mechanical system with a centrifugal governor
cites work: Chaos control of a fractional-order financial system
cites work: A predictor-corrector approach for the numerical solution of fractional differential equations
DOI: 10.1016/J.CNSNS.2017.08.005
description: scientific article