The selection of a least squares approximating function to satisfy a given error tolerance
Error function approximation by least squares method
ERROR FUNCTION↗
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Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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IMPLEMENTATION OF OPTIMIZED ADAPTIVE CONTROL FUNCTIONS - A PROBLEM IN MULTIVARIATE FUNCTION APPROXIMATION
Multivariate function approximation forms the basis of adaptive control systems for space flight
ADAPTIVE CONTROL↗
An orthonormalization procedure for multivariable function approximation
Orthonormalization procedure for multivariable function approximation
MATHEMATICAL TABLE↗
An orthonormalization procedure for multivariable function approximation
Where a function of several variables is given numerically in tabular form, an orthonormalization technique allows an approximation of the numerical data to be determined in a convenient functional form. In this technique, the speed and accuracy of coefficient computation are much improved.
Ingram, H. L.↗
Transfer Function Approximations for Large Highly Coupled Elastic Boosters with Fuel Slosh
Transfer function approximations for large highly coupled flexible body launch vehicles with liquid fuel slosh
FLEXIBLE BODY↗
An iteration method in the problem of approximating functions from a finite number of observations ob odnom iteratsionnom metode v zadache approksimatsii funktsii po konechnomu chislu nablyudeniy
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Litvakov, B. M.↗
Uniqueness and successive approximations for functional differential equations.
Uniqueness theorem and successive approximations for delay functional differential equations, noting scalar problems
Proctor, T. G.↗
On approximation of functions, topological mappings and nonlinear feedback control systems
Topological mappings for use in design of optimal nonlinear feedback control systems
Athans, M.↗
Numerical Evaluation by Harmonic Analysis of the (Epsilon)-Function of the Theodorsen Arbitrary-Airfoil Potential Theory
Finite trigonometric series is fitted by harmonic analysis as an approximation function to the psi function of the Theodorsen arbitrary-airfoil potential theory. By harmonic synthesis, the corresponding conjugate trigonometric series is used as an approximation to the epsilon function. A set of coefficients of particularly simple form is obtained algebraically for direct calculation of the epsilon values from the corresponding set of psi values. Complete derivation of this process is presented.
Naiman, Irven↗
Functions of relaxed controls
Mathematical control theory problems involving solutions of certain partial differential equations, nonadditive set functions, or other functionals - approximation and existence theorems
FUNCTIONAL ANALYSIS↗
Approximate electron radial functions for beta decay and analysis of super 12 B and super 12 N spectra.
Approximate electron radial functions for uniformly charged nucleus /UCN/ used in analyzing boron 12 and nitrogen 12 beta decay spectra
SPECTRAL ANALYSIS↗
Implementation of an optimal adaptive guidance mode.
Multivariate function approximation as basis of adaptive control systems for space flight
ADAPTIVE CONTROL SYSTEM↗
First compilation of papers on trajectory analysis and guidance theory
Mathematical models to approximate functions, bounds and power series for three-body problems, satellite orbit theories, and other aspects of trajectory analysis and guidance theory
POWER SERIES↗
Development of constructive existence theorems in optimal control theory Final report
Constructive existence theorems, function approximations, and computational algorithms developed for optimal control problems
Guinn, T.↗
A second-order system model for pneumatic instrumentation lines.
Pneumatic instrumentation line transfer function approximated by system model for simplifying reactor control system analysis
Samuelson, R. D.↗
A technique for optimizing the selection of quantized coefficients in digital controllers.
Coefficient quantization in digital continuous time process controllers, applying results to nominal transfer function approximation
Chenoweth, D. L.↗
Minimum mean square error approximation of unknown probability distribution functions.
Double stochastic approximation algorithm for minimizing mean square error in finite expansion of unknown probability distribution functions
Deuser, L. M.↗
Non-iterative solutions to functional equations.
Polygonal approximation to functional equation solution by using search algorithms, listing FORTRAN IV programs
Brannen, J. P.↗