Dynamical Systems with Applications using MATLAB by Stephen Lynch

Companion Software. (chaos, nonlinear, mathematics)

Program_5c(~)

Programs_17a

Programs_17b

Multiple curve fitting with common parameters using NLINFIT by Chen

Wrapper for NLINFIT which allows simultaneous fitting for multiple data sets with shared parameters. (fitting, multiple, nonlinear)

nlinmultifit(x_cell, y_cell, mdl_cell, beta0, options)

CRCBode() - Contoured Robust Controller Bode Plot Function by JD Taylor

Generate controller Bode plots with contours showing robust performance and stability metric. (robust control, control design, loop shaping)

CRCBode(wi,mPi,aPi,mCi,aCi,Wui,Wsi,mLim,aLim,cLim,controlSt...

New ODE and DAE Solver by John Hedengren

Differential and algebraic equation solver for high-index, stiff, and mixed-integer systems. (optimization, simulation, demo)

apm(server,app,aline)

apm_get(server,app,filename)

apm_info(server,app,class,name)

Surrogate Model Optimization Toolbox by Julie

Surrogate model optimization algorithm for computationally expensive global optimization problems (global optimization, surrogate model, derivativefree)

BumpinessMinSampling(Data, maxeval, Surrogate, lambda, gamm...

CandValue=PredictFunctionValues(Data,Surrogate,CandPoint,la...

CandidatePointSampling(Data,maxeval,Surrogate,lambda,gamma,...

Correlation dimension by M

For lorenz attractor (nonlinear)

ratio=d2lor(iter)

NIST Statistical Reference Datasets for Nonlinear Regression by Adam Gripton

MAT file of all the benchmark Nonlinear Regression problems from the NIST StRD website (nonlinear, regression, statistics)

EzyFit 2.41 by Frederic Moisy

A free curve fitting toolbox for Matlab (curve, nonlinear, approximation)

Discover Ezyfit: A free curve fitting toolbox for Matlab

about_ef (Ezyfit Toolbox)

axis0 (Ezyfit Toolbox)

Lorentzian fit by Jered Wells

LORENTZFIT fits a single- or multi-parameter Lorentzian function to data (lorentz, fit, lorentzian)

lorentzfit(x,y,p0,bounds,nparams)

Model Predictive Control by John Hedengren

Model Predictive Control with discrete, continuous, linear, or nonlinear models. (model predictive cont..., nonlinear, moving horizon)

apm(server,app,aline)

apm_info(server,app,class,name)

apm_load(server,app,filename)

Detrend Non-linear Data by Atul Ingle

Removes nonlinear trend from data (detrend, nonlinear, polynomial fit)

detrendnonlin(x, varargin)

Hammerstein Toolbox by M. Rébillat / R. Hennequin / A. Novak

Rapid estimation of the structural elements composing a cascade of Hammerstein models. (nonlinear, exponential sine swee..., cascade of hammerstei...)

Hammerstein_ID.m

compute_inverse_filter.m

convq.m

Kernel k-means by Mo Chen

kernel k-means algorithm (kernel, kmeans, clustering)

knkmeans(K,init)

spread(X, label)

Furuta (rotary) Pendulum by Alan Jennings

Equations of motion for a pendulum mounted on rotating base are compared to SimMechanics. (pendulum, simulation, modeling)

The equations of motion for a rotary pendulum (furuta pendu...

RotPen_Test_Submitt

Newton's method done right by Andrew Knyazev

Newton's method for solving systems of nonlinear equations, including nonsquare and inconsistent (demo, newton, modeling)

Newton(X,F,X0,varargin)

NewtonDemoRunMe.m

Optimization, Nonlinear Control, and Estimation Toolbox by John Hedengren

APM MATLAB toolbox for nonlinear control and estimation of DAE models with IPOPT (nonlinear, simulation, control)

apm(server,app,aline)

apm_info(server,app,class,name)

apm_load(server,app,filename)

Newton-Raphson Iterative Solver for Systems of Equations by John Fuller

An N-R iterative root-finder for systems of N equations and N unknowns. (newton, raphson, iterative)

nrsolve(F,dFdx,xi,tol,max_iter,varargin)

testnrsolve.m

Fractional Order Chaotic Systems by Ivo Petras

Numerical solutions of the fractional order chaotic systems. (numerical solution, attractor, chaos)

[T, Y]=FO3CNN(parameters, orders, TSim, Y0)

[T, Y]=FOArneodo(parameters, orders, TSim, Y0)

[T, Y]=FOChen(parameters, orders, TSim, Y0)

Eigen Function of the Laplacian by Ambarish Jash

The main file Diffusion_Family.m gives a low dimensional embedding in 3 different ways. (signal processing, data exploration, modeling)

Diffusion_Family(data,ScaleSigma,knn,flag)

L2_distance(a,b,df)

adjacency(DATA, TYPE, PARAM);

Animated Double Pendulum by Alexander Erlich

Show animation of the double pendulum's (mostly) chaotic behavior. (animation, potw, lagrange)

double_pendulum(ivp, duration, fps, movie)

double_pendulum_ODE(t,x)

double_pendulum_init.m

Image Edge Enhancing Coherence Filter Toolbox by Dirk-Jan Kroon

Advanced 2D/3D noise removal and edge enhancing with anisotropic diffusion filtering ( Weickert ) (3d, ridge, image enhancement)

CoherenceFilter(u,Options)

D=derivatives(I,option)

I=imgaussian(I,sigma,siz)

secant method in nonlinear ode by Kalyan Bhattacharjee

this will find the solution of U''=k*U*U' by using taylor series 3rd order and secant method (simulation, taylor, ode)

math1.m

secant.m

GAFFE A toolbox for solving evolutionary nonlinear PDEs by Edward Grace

This toolbox implements the well known split-step Fourier technique for solving nonlinear PDEs. (soliton, 2d, 1d)

B=fftnpad(A,varargin)

DefaultDiffraction(dz,KX,X,u,U)

DefaultDiffractionFibich(dz,KX,X,u,U)

Developing Models from Experimental Data using System Identification Toolbox by Rajiv Singh

Describe linear and nonlinear data-centric modeling approaches. (control, narx, nonlinear model)

webinar_walk_through.m

ExampleModel

Friction_Model

Kernel PCA by Ambarish Jash

Non-linear dimension reduction using kernel PCA. (kernel pca, dimension reduction, pca)

kernelpca_tutorial(data_in,num_dim)

Kernel Ridge Regression by Ambarish Jash

This is ridge regression implemented using the Gaussian Kernel. (signal processing, statistics, nonlinear)

KernelRidge(in_data,out_data,test_data,lamda)

Dynamic Control of a Wheeled Mobile Robot by Hrishi Shah

Non-linear feedback linearization is applied to the dynamics of a wheeled mobile robot. (wheeled, control, robotics)

WMR_TRAJTRACK(t,X,L1,L2)

plotbot_WMR(t,X,index,txt1)

HW6_MAIN_1.m

Kinematic/Dynamic Control of a Two Link Manipulator by Hrishi Shah

Kinematic and Dynamic models of a Two Link Manipulator undergo non-linear feedback linearization. (manipulator, kinematic, control)

DYN_CL_B1(t,X)

DYN_CL_B2(t,X)

DYN_CL_B3(t,X)

Nonlinear Finite Difference Method by Ernesto Momox Beristain

The Finite Difference Method is employed for solving a nonlinear boundary value problem. (finitedifference, nonlinear, boundaryvalue)

f(x,y,yp)

nonlinearBVP_FDM(a,b,alpha,beta)

systemNxN(w,x,h,alpha,beta)

Solving non-linear (and linear) simultaneous equations with 'solve' - version 2 by Bruce Raine

symsolvesimulv2.m solves non-linear and linear (or a mix of) simultaneous equations. (mathematics, nonlinear, linear)

symsolvesimulv2(exp,coeffconsts)

Solving non-linear (and linear) simultaneous equations with 'solve' by Bruce Raine

symsolvesimul.m solves non-linear and linear (or a mix of) simultaneous equations. (solve, mathematics, nonlinear)

symsolvesimul(exp,coeffconsts)

hyperchaotic chua's system in secure communications by Hoang Manh Thang

Cascade of 5 chua's systems and application in secure communications (chuas system, chaos, nonlinear)

hyper_5chuacircuit_secure

Chua's system by Hoang Manh Thang

Simulation for chua's system (chuas system, nonlinear, chaos)

chua_system

Sugeno-Takagi-like fuzzy controller by Nassim Khaled

This is a two input one output fuzzy controller. (sugeno, fuzzy, controller)

Read_ME.m

fuzzy_system_data.m

fuzzy_controller

Log-Pearson Flood Flow Frequency using USGS 17B by Jeff Burkey

This function will calculate flood flow frequencies using published guidelines by the USGS. (annual extremes, statistics, logpearson)

b17(datain, gg, imgfile, gaugeName, plotref, plottype)

Complex Method of Optimization by Travis Wiens

Implements the Complex Method of Constrained Optimization (constrained, optimization, nonlinear)

[fitness x]=fitness_function(x, opts)

[x_best, fit_best, x_pop, fit_pop stats]=complexmethod(fcn_...

example.m

Introduction to Unscented Kalman Filtering by Krisada Sangpetchsong

Unscented Kalman filtering tutorial: Simulink and tilt sensor case study. (estimation, arm, kalman filter)

compare_error_variance_1run.m

compare_error_variance_monte_carlo.m

tilt_system

General Purpose Controller by Nassim Khaled

This is a general purpose controller that I have built using the Fuzzy Logic Rules. (controller, if you can send to me..., simulink)

Read Me.m

fuzzy_lookup_example1

fuzzy_lookup_example2

anti-windup PID controller - SIMULINK block by Paul Acquatella

This SIMULINK block contains a PID controller with anti-windup (simulink, control design, control)

PIDantiwindup

Regression Analysis by Gerhard Nieuwenhuiys

Do regression analysis (curve fitting) on 2D, 3D graphs and Differential equations. (nonlinear, reaction, linear)

dregres(fstring,v,xexp,yexp,nstep,zfix);

mregres(fstring,v,xexp,yexp,zexp);

regres(fstring,v,xexp,yexp);

Multivariate Nonlinear optimization using Marquardt Method by Siamak Faridani

Multivariate Nonlinear optimization using Marquardt Method (hessian, optimization, nonlinear)

Marquardt.m

Steepest Accent Method by Siamak Faridani

Solves multivariant unconstrained optimization using the Steepest Accent Method (optimization, steepest methods, nonlinear)

acent.m

Exponential fit, without start-guess by Per Sundqvist

Fits 1) f=s1+s2*exp(-t/s3) or 2) f=s1+s2*exp(-t/s3)+s4*exp(-t/s5) to numerics, without startguess (exponential, nonlinear, initial guess)

s=exp2fit(t,f,caseval,lsq_val,options)

Steepest Decent Method for Multiple Variable Functions by Siamak Faridani

Solves a multivariable unconstrained optimization method using the Steepest Decent Method (optimization, nonlinear)

steepest.m

smartnonlinrgen by Ali Mohammad Razeghi

finds the roots of a set of nonlinear equations (mathematics, root, nonlinear)

smartnonlinrgen ( funcvec , xold , es , maxit )

Nonlinear Control of 3 DOF PUMA Robot by Abdel-Razzak

Nonlinear Control of 3 DOF PUMA Robot (sliding mode, backstepping control, nonlinear)

sfunxyz(t,x,u,flag,ax,varargin)

aerolibutil

backstepping_control

Test of non-linearity by Adrian Barnett

A bootstrap test of non-linearity for time series data (time series, bootstrap, nonlinearity)

[XXX,waxis]=third(y,nlag,centre,outmax);

aaft(xV, nsur)

boottime.m

Two step Taylor Galerkin algorithm by Xose Manuel Carreira

The two step Taylor Galerkin algorithm applied to nonlinear structural dynamics (mechanical engineerin..., nonlinear, nmpact)

...

...

Contour1(NN,NE,NEN,X,NOC,FF)

MATLAB interface for L-BFGS-B by Peter Carbonetto

Matlab interface to the L-BFGS-B nonlinear optimization algorithm (optimization, interface, lbfgsb)

callbackMFLDA (t, f, xi, gamma, Phi, auxdata)

computeGradientHS038 (x)

computeGradientMFLDA (xi, gamma, Phi, auxdata)

Split Step Fourier Method by Muddassir Iqbal

Simulate Pulse propagation in Fiber optics (so nice, pulse propagation, fourier)

split_step_fourier_method.m