Results 11 to 20 of about 419,227 (284)
On the Expediency and Possibilities of Approximating a Pure Delay Link
Информатика и автоматизация, 2022 When solving problems of controlling an object with delay, it is often necessary to approximate a pure delay link with a minimum phase link in order to ensure the possibility of using analytical methods for regulator design.
Vadim Zhmud +5 more
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Approximate zolotarev polynomials
Computers & Mathematics with Applications, 1986 The authors introduce modified Zolotarev polynomials as follows. For \(a\in R\), (1) \(Z_ a:=Z_{a,m+2}:=aT_{m+2}+T_{m+1}+q^*,\) where \(q^*\in P_ m\) is the (uniquely determined) algebraic polynomial of degree \(\leq m\) which minimizes \(\| Z_{a,m+2}\|_{\infty}=\max_{-1\leq x\leq 1}| Z_{a,m+2}(x)|;\) and \(T_ p\) is a Chebyshev polynomial of first ...
Haussmann, W., Zeller, K.
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Improved Stability Criteria for Time-Varying Delay System Using Second and First Order Polynomials
IEEE Access, 2020 This article concerns the problem of stability analysis of systems with time-varying delay. Recent developments in this direction involves approximation of a second order polynomial function of time-delay.
Sharat Chandra Mahto +5 more
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Communications, 2000 The least square method is generally used for an estimation of the coefficients of polynomial transformation. The paper describes the rationalization of polynomial approximation by the minimization of maximal error model (Chebyshew approximation).
Robert Tenzer
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Open Mathematics, 2021 Fourier approximation plays a key role in qualitative theory of deterministic and random differential equations. In this paper, we will develop a new approximation tool.
Zhang Zhihua
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Polynomial-Like Approximation [PDF]
Mathematical Tables and Other Aids to Computation, 1954 Abstract : This is a short note on approximate representation for computing purposes of continuous real-valued functions of several real variables by finite sums of functions separable in the individual variables.
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Minimax polynomial approximation [PDF]
Mathematics of Computation, 1966 Some new methods for obtaining the minimax polynomial approximation of degree n n to a continuous function are introduced, and applied to several simple functions. The amount of computation required is substantially reduced compared with that of previous methods.
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018 The use of the Taylor polynomial of the second degree when approximating the derivatives by finite differences leads to the second order of approximation of the traditional method of nets in the numerical integration of second-order ordinary differential
Vladimir N Maklakov, Yanina G Stelmakh
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Journal of Modern Power Systems and Clean Energy, 2021 In power systems, there are many uncertainty factors such as power outputs of distributed generations and fluctuations of loads. It is very beneficial to power system analysis to acquire an explicit function describing the relationship between these ...
Hao Wu +5 more
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Trivariate polynomial approximation on Lissajous curves [PDF]
, 2015 We study Lissajous curves in the 3-cube, that generate algebraic cubature formulas on a special family of rank-1 Chebyshev lattices. These formulas are used to construct trivariate hyperinterpolation polynomials via a single 1-d Fast Chebyshev Transform (
Bos, Len +2 more
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