Optimal controllers with complex order derivatives
type: Item
instance of: scholarly article
title: Optimal controllers with complex order derivatives
zbMATH Open document ID: 1263.49031
published in: Journal of Optimization Theory and Applications
publication date: 2013-05-08T00:00:00Z
full work available at URL: http://hdl.handle.net/10400.22/3774
Mathematics Subject Classification ID: 49M30
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 90C59
zbMATH DE Number: 6161521
zbMATH Keywords: fractional calculus
zbMATH Keywords: optimization
zbMATH Keywords: genetic algorithms
zbMATH Keywords: control
cites work: Fractional Order Chaotic Systems
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: Q3141902
cites work: Q3141895
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: Q5699297
cites work: Recent history of fractional calculus
cites work: Q3006513
cites work: Q4844958
cites work: Q4351330
cites work: Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
cites work: Q5710170
cites work: A central difference numerical scheme for fractional optimal control problems
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Fractional Optimal Control Problems with Several State and Control Variables
cites work: Q5190149
cites work: Fractional-order systems and controls. Fundamentals and applications
cites work: Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
cites work: Q4438520
cites work: Discretization schemes for fractional-order differentiators and integrators
cites work: Two direct Tustin discretization methods for fractional-order differentiator/integrator.
cites work: A new IIR-type digital fractional order differentiator
cites work: Time domain design of fractional differintegrators using least-squares
cites work: Q4079017
cites work: Optimal tuning of fractional controllers using genetic algorithms
cites work: Rational approximation for fractional-order system by particle swarm optimization
cites work: Complex-order dynamics in hexapod locomotion
cites work: Complex Order-Distributions Using Conjugated order Differintegrals
cites work: Discretization of Complex-order Algorithms for Control Applications
cites work: Identification of Complex Order-distributions
cites work: Approximating fractional derivatives through the generalized mean
cites work: Multidimensional scaling analysis of fractional systems
cites work: Describing function analysis of systems with impacts and blacklash
cites work: Describing function of two masses with backlash
describes a project that uses: Fractional Order Chaotic Systems
describes a project that uses: CRONE
author: José A. Tenreiro Machado
MaRDI profile type: Publication
OpenAlex ID: W2112389638
DOI: 10.1007/S10957-012-0169-4
description: scientific article; zbMATH DE number 6161521