[PDF] Top 20 Optimal control and numerical software: an overview

... for Optimal Control) for the solution of mixed integer nonlinear ODE or DAE constrained optimal control problems in an extended AMPL ...Gay and Kernighan [35]. The modelling ... See full document

... that control problems with higher index state constraints arise frequently in mechanical systems, when there is a constraint on the position (an obstacle in the path, for example) and the ... See full document

... relevant control objectives in this context consist in reference tracking for the desired NMB and/or BIS ...as an optimal control problem (OCP), and is solved using direct ... See full document

... a numerical method, based on modified hat functions, for solving a class of fractional optimal control ...the control and the fractional derivative of the state function are considered ... See full document

... of optimal control and accurate solution of ...variables and utilizing Legendre-Radau pseudospectral method, the singular optimal control problem is transcribed to an ... See full document

... computed and it plays an important role to know if the disease dies out or ...not. Numerical simulations are carried out in order to illustrate important details of the unique endemic equilibrium's ... See full document

... epidemiologically and mathematically well ...positive and bounded; and that every solu- tion with initial conditions in a certain meaningful set remains in that set for all ...disease-free and ... See full document

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, and as it is known, this truncation error at a specified step measures the amount by which the exact solution to the differential equation fails to satisfy the difference equation being used for the ... See full document

... We propose a mathematical model to study the water usage for the irrigation of a given farmland to guarantee that the field crop is kept in a good state of preservation. This problem is formulated as an ... See full document

... presents an algorithm for solving optimal con- trol problems (OCP) of differential algebraic equations (DAE) based on the augmented Lagrangian ...equations and solves a sequence of OCPs of ordinary ... See full document

... for optimal control problems with differential algebraic equations in the linear quadratic case and, in more general cases, on numerical ...two and in- dex three optimal ... See full document

... Rachah and Torres, an optimal con- trol problem of the 2014 Ebola outbreak in West Africa was posed and numerically solved through Matlab and the ACADO toolkit [ 6 ...model and ... See full document

... stabilize an electric vehicle in optimal manner to a step lane change ...account. An optimal lane keeping controller delivers the adequate angles in order to stabilize the vehicle’s trajectory ... See full document

... Optimal control problems play an important role in a range of application areas including engineering, economics and ...finance. Control Theory is a branch of optimization theory ... See full document

... to an op- timal control ...putational and graphical capabilities, and the avail- ability of software packages capable of handling the intricacies of numerical and symbolic ... See full document

... sets and may produce inaccurate ...effective and precise compared to the Graham Schmidt method due to the fact that approximations in numerical integration needed for the Graham Schmidt method are ... See full document

... propose and develop an optimal control algorithm based on a direct method with adaptive refinement of the ...nonlinear optimal control, regular time meshes having equidistant ... See full document

... sites, and also simulations on the application of insecticides (larvicide and adulticide), were ...of control over time, the results are surprisingly ...effective control, since with a low ... See full document

... the optimal solution to the irrigation problem described as the minimization of the water flow (control) so that the amount flow of water in the soil (trajectory) fulfils the cultivation water requirements ... See full document

... the software allows the user to create vecto- rial ...strain, and the history variables of the elements of the mesh are readily available in the user subroutine urmathn (in the case of solids) and ... See full document