Results 161 to 170 of about 133,666 (191)
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Optimal Control Applications and Methods, 2004
AbstractThe use of Chebyshev polynomials in solving finite horizon optimal control problems associated with general linear time‐varying systems with constant delay is well known in the literature. The technique is modified in the present paper for the finite horizon control of dynamical systems with time periodic coefficients and constant delay.
V. Deshmukh, null Haitao Ma, E. Butcher
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AbstractThe use of Chebyshev polynomials in solving finite horizon optimal control problems associated with general linear time‐varying systems with constant delay is well known in the literature. The technique is modified in the present paper for the finite horizon control of dynamical systems with time periodic coefficients and constant delay.
V. Deshmukh, null Haitao Ma, E. Butcher
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Polynomial Parametrization of the Solutions of Certain Systems of Diophantine Equations
Results in Mathematics, 2009Let \(f_1, f_2, \ldots , f_k \in {\mathbb {Z}}[X_0, X_1, \ldots , X_N]\) be non-constant homogeneous polynomials which define a projective variety V over \(\mathbb {Q}\). Under the hypothesis that, for some \(n \in \mathbb {N}\), there is a surjective morphism \(\varphi: \mathbb {P}^n_\mathbb {Q} \rightarrow V\), we show that all integral solutions of ...
Franz Halter-Koch, Günter Lettl
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Solution of System of Fuzzy Linear Equations with Polynomial Parametric Form
International Journal of Fuzzy Mathematical Archive, 2022In this paper, we have discussed a new and simple solution method to solve a fuzzy system of linear equations having fuzzy coefficients and crisp variables using a polynomial parametric form of fuzzy numbers. Here related theorems are stated and discussed and the proposed methods are used to solve example problems.
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Kinematic Analysis of Mechanisms Based on Parametric Polynomial System
Volume 5B: 42nd Mechanisms and Robotics Conference, 2018Many kinematic problems of mechanisms can be expressed in the form of polynomial systems. Gröbner Bases computation is effective for algebraically analyzing such systems. In this research, we discuss the cases in which the parameters are included in the polynomial systems. The parameters are used to express the link lengths, the displacements of active
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Adaptive control design for uncertain polynomial nonlinear systems with parametric uncertainties
International Journal of Adaptive Control and Signal Processing, 2010Summary: We develop an adaptive \({\mathcal H}_\infty\) control approach for a class of polynomial nonlinear systems with parametric uncertainties. Motivated by the dissipation theory and the vector projection technique, we propose a nonlinear adaptive \({\mathcal H}_\infty\) controller and its associated parameter adaptation law. The proposed adaptive
Zheng, Qian, Wu, Fen
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A Method to Determine if Two Parametric Polynomial Systems Are Equal
2014The comprehensive Grobner systems of parametric polynomial ideal were first introduced by Volker Weispfenning. Since then, many improvements have been made to improve these algorithms to make them useful for different applications. In contract to reduced Groebner bases, which is uniquely determined by the polynomial ideal and the term ordering, however,
Jie Zhou, Dingkang Wang
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A Polynomial Membership Function Approach for Stability Analysis of Fuzzy Systems
IEEE Transactions on Fuzzy Systems, 2021Wen-Bo Xie, Hak-Keung Lam, Jian Zhang
exaly
Dixon-EDF: The Premier Method for Solution of Parametric Polynomial Systems
2017Using examples of interest from real problems, we will discuss the Dixon-EDF resultant as a method of solving parametric polynomial systems. We will briefly describe the method itself, then discuss problems arising in geometric computing, flexibility of structures, pose estimation, robotics, image analysis, physics, differential equations, and others ...
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