Fractional-order system identification based on continuous order-distributions

From MaRDI portal
Publication:948267

DOI10.1016/S0165-1684(03)00182-8zbMath1145.93433OpenAlexW2140947903MaRDI QIDQ948267

Carl F. Lorenzo, Tom T. Hartley

Publication date: 16 October 2008

Published in: Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-1684(03)00182-8




Related Items (48)

Haar wavelet collocation method for variable order fractional integro-differential equations with stability analysisNovel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equationsForced oscillations of a body attached to a viscoelastic rod of fractional derivative typeA collocation method based on Jacobi and fractional order Jacobi basis functions for multi-dimensional distributed-order diffusion equationsCompact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domainsStability Analysis of Linear Time‐Invariant Distributed‐Order SystemsGeneralized Algorithm for Estimating Non‐Commensurate Fractional‐Order ModelsExistence, uniqueness, Ulam-Hyers stability and numerical simulation of solutions for variable order fractional differential equations in fluid mechanicsStability analysis for a class of fractional-order nonlinear systems with time-varying delaysOn a nonlinear distributed order fractional differential equationDistributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rodOrder-distributions and the Laplace-domain logarithmic operatorEstimation of exact initial states of fractional order systemsComputational approach based on wavelets for financial mathematical model governed by distributed order fractional differential equationA novel adaptive order/parameter identification method for variable order systems application in viscoelastic soft tissue modelingOrder and pole locator estimation in fractional order systems using bode diagramModulating function-based system identification for a fractional-order system with a time delay involving measurement noise using least-squares methodFractional-based stochastic gradient algorithms for time-delayed ARX modelsAn improved numerical technique for distributed‐order time‐fractional diffusion equationsNumerical solutions of distributed order fractional differential equations in the time domain using the Müntz–Legendre wavelets approachThe Two Forms of Fractional Relaxation of Distributed OrderModified methods for solving two classes of distributed order linear fractional differential equationsAnalysis of a fractional order Van der Pol-like oscillator via describing function methodStabilisation of distributed-order nonlinear systems via event-triggered controlWavelet approximation scheme for distributed order fractional differential equationsPolynomial-Sinc collocation method combined with the Legendre-Gauss quadrature rule for numerical solution of distributed order fractional differential equationsDistributed-order fractional wave equation on a finite domain. Stress relaxation in a rodA numerical method based on fractional-order generalized Taylor wavelets for solving distributed-order fractional partial differential equationsAn unstructured mesh finite element method for solving the multi-term time fractional and Riesz space distributed-order wave equation on an irregular convex domainChaos control and synchronization in a fractional neuron network systemSynthesis of multifractional Gaussian noises based on variable-order fractional operatorsOn distributed order integrator/differentiatorFractional order calculus: basic concepts and engineering applicationsA note on fractional-order derivatives of periodic functionsGeneralization of order distribution concept use in the fractional order system identificationA novel Legendre operational matrix for distributed order fractional differential equationsSubspace-based continuous-time identification of fractional order systems from non-uniformly sampled dataGenetic algorithm-based identification of fractional-order systemsCondition-based diagnosis of mechatronic systems using a fractional calculus approachIdentification of system with distributed-order derivativesStability and convergence of a local discontinuous Galerkin method for the fractional diffusion equation with distributed orderTime-fractional Diffusion of Distributed OrderIdentification of Complex Order-distributionsUnnamed ItemApproximate solution of nonlinear fractional integro-differential equations using fractional alternative Legendre functionsStokes' second problem of viscoelastic fluids with constitutive equation of distributed-order derivativeStability analysis of fractional-order systems with double noncommensurate orders for matrix caseRobust passivity and feedback passification of a class of uncertain fractional-order linear systems




This page was built for publication: Fractional-order system identification based on continuous order-distributions