Robust adaptive control of robot manipulators using Bernstein polynomials as universal approximator
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Robust and Nonlinear Control"
DOI: 10.1002/rnc.4913
Abstract: This article presents a robust adaptive controller for electrically driven robots using Bernstein polynomials as universal approximator. The lumped uncertainties including unmodeled dynamics, external disturbances, and nonimplemented control signals (they assumed as a function of… read more here.
Keywords: polynomials universal; bernstein polynomials; universal approximator; using bernstein ... See more keywords
An Answer to an Open Problem on the Multivariate Bernstein Polynomials on a Simplex
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DOI: 10.1007/s00025-018-0938-y
Abstract: We answer and generalize an open problem on the two-dimensional Bernstein polynomials on the unit triangle. read more here.
Keywords: answer open; problem multivariate; open problem; bernstein polynomials ... See more keywords
Application of orthonormal Bernstein polynomials to construct a efficient scheme for solving fractional stochastic integro-differential equation
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DOI: 10.1016/j.ijleo.2016.12.029
Abstract: Abstract Fractional stochastic integro-differential equations arise in many problems in mechanics, finance, biology, medical, social sciences. In many situation, we can not solve these equations analytically, therefore we try to get an approximate solution for… read more here.
Keywords: integro differential; bernstein polynomials; fractional stochastic; stochastic integro ... See more keywords
Solving directly third-order ODEs using operational matrices of Bernstein polynomials method with applications to fluid flow equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2018.05.002
Abstract: Abstract In this paper, we adapt for the first time the operational matrices of Bernstein polynomials method for solving directly a class of third-order ordinary differential equations (ODEs). This method gives a numerical solution by… read more here.
Keywords: bernstein polynomials; order; polynomials method; matrices bernstein ... See more keywords
Recursive distribution estimator defined by stochastic approximation method using Bernstein polynomials
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Nonparametric Statistics"
DOI: 10.1080/10485252.2017.1369538
Abstract: ABSTRACT We propose a recursive distribution estimator using Robbins-Monro's algorithm and Bernstein polynomials. We study the properties of the recursive estimator, as a competitor of Vitale's distribution estimator. We show that, with optimal parameters, our… read more here.
Keywords: recursive distribution; estimator; estimator defined; bernstein polynomials ... See more keywords
Normalized Bernstein polynomials in solving space-time fractional diffusion equation
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DOI: 10.1186/s13662-017-1401-1
Abstract: In this paper, we solve a time-space fractional diffusion equation. Our methods are based on normalized Bernstein polynomials. For the space domain, we use a set of normalized Bernstein polynomials and for the time domain,… read more here.
Keywords: fractional diffusion; space; time; normalized bernstein ... See more keywords
Bernstein polynomials method and it’s error analysis for solving nonlinear problems in the calculus of variations: Convergence analysis via residual function
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DOI: 10.2298/fil1804379b
Abstract: In this paper, Bernstein polynomials method (BPM) and their operational matrices are adopted to obtain approximate analytical solutions of variational problems. The operational matrix of differentiation is introduced and utilized to reduce the calculus of… read more here.
Keywords: analysis; bernstein polynomials; polynomials method; residual function ... See more keywords
Inequalities for Approximation of New Defined Fuzzy Post-Quantum Bernstein Polynomials via Interval-Valued Fuzzy Numbers
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DOI: 10.3390/sym14040696
Abstract: In this study, we introduce new defined fuzzy post-quantum Bernstein polynomials and present examples illustrating their existence. We investigate their approximation properties via interval-valued fuzzy numbers. We obtain a fuzzy Korovkin-type approximation result, and we… read more here.
Keywords: post quantum; fuzzy post; quantum bernstein; bernstein polynomials ... See more keywords