Discrete nonlinear approximation
نویسندگان
چکیده
منابع مشابه
Discrete Function Approximation: Numerical Tools for Nonlinear Control
We describe a method for discrete representation of continuous functions and show how this may be used for typical computations in nonlinear control design. The method involves representing functions by their values and nitely many derivatives at discrete set of points on the domain. We propose a grid structure based on a hierarchy of rectangular boxes that provides exibility in placing grid po...
متن کاملDiscrete Approximation and Control of High-order Nonlinear Continuous Systems
Approximation-based approaches to hybrid control systems synthesis have been mostly limited to problems with low-order linear continuous dynamics. In this contribution, results from the theory of monotone dynamical systems are used to efficiently compute discrete approximations for a class of nonlinear models. Furthermore, a situation is investigated where the high-dimensional plant state conve...
متن کاملA continuous approximation fitting to the discrete distributions using ODE
The probability density functions fitting to the discrete probability functions has always been needed, and very important. This paper is fitting the continuous curves which are probability density functions to the binomial probability functions, negative binomial geometrics, poisson and hypergeometric. The main key in these fittings is the use of the derivative concept and common differential ...
متن کاملContinuous Discrete Variable Optimization of Structures Using Approximation Methods
Optimum design of structures is achieved while the design variables are continuous and discrete. To reduce the computational work involved in the optimization process, all the functions that are expensive to evaluate, are approximated. To approximate these functions, a semi quadratic function is employed. Only the diagonal terms of the Hessian matrix are used and these elements are estimated fr...
متن کاملDeriving Fuzzy Inequalities Using Discrete Approximation of Fuzzy Numbers
Most of the researches in the domain of fuzzy number comparisons serve the fuzzy number ordering purpose. For making a comparison between two fuzzy numbers, beyond the determination of their order, it is needed to derive the magnitude of their order. In line with this idea, the concept of inequality is no longer crisp however it becomes fuzzy in the sense of representing partial belonging or de...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1973
ISSN: 0021-9045
DOI: 10.1016/0021-9045(73)90039-7