Results 251 to 260 of about 134,418 (279)

LFT representations of parametrized polynomial systems

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1999
Summary: The paper focuses on general linear constant differential systems in which the coefficients depend polynomially on several parameters. It is shown how the system matrix can be written in terms of a linear fractional transformation (LFT), which is a representation that extracts the parametric uncertainty.
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Polynomial Toolbox 2.5 and Systems with Parametric Uncertainties 1

IFAC Proceedings Volumes, 2000
Abstract Polynomial Toolbox is a new MATLAB toolbox for systems, signals and control analysis and design using polynomial methods. See www.polyx.cz for more details. This paper demonstrates on several examples how the Polynomial Toolbox solves various robust control problems for plants with parametric uncertainties.
Michael Šebek, Martin Hromčik, Jan Ježek   +2 more
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NON-ALGEBRAIC LIMIT CYCLES FOR PARAMETRIZED PLANAR POLYNOMIAL SYSTEMS

International Journal of Mathematics, 2007
In this paper, we determine conditions for planar systems of the form [Formula: see text] where a, b and c are real constants, to possess non-algebraic limit cycles. This is done as an application of a former theorem gives description of the existence of the non-algebraic limit cycles of the family of systems: [Formula: see text] where Pn(x,y), Qn(x,y)
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Parametric Synthesis of Nonlinear Automatic Control Systems with Polynomial Approximation

2019 Wave Electronics and its Application in Information and Telecommunication Systems (WECONF), 2019
The article discusses the solution of the problem of the synthesis of the parameters of the control laws of nonlinear continuous and pulse automatic control systems with the polynomial approximation of nonlinearities. As a mathematical apparatus, the inversion of the direct variational method of analysis — the generalized Galerkin method — is used to ...
E. Yu. Vataeva, V. F. Shishlakov, D. V. Shishlakov, N. V. Reshetnikova   +3 more
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Bipolar fuzzy system of linear equations with polynomial parametric form

Journal of Intelligent & Fuzzy Systems, 2019
 The notions of center and distance between two Parametric Bipolar Fuzzy Numbers (PBFNs) by giving the preference of right dominance as compared to the left dominance are presented. The solution of Bipolar Fuzzy System of Linear Equations (BFSLEs) is discussed with polynomial parametric bipolar fuzzy number coefficients matrix having crisp real ...
Akram, Muhammad, Muhammad, Ghulam, Hussain, Nawab   +2 more
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Optimal control of parametrically excited linear delay differential systems via Chebyshev polynomials

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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Polynomial Parametrization of the Solutions of Certain Systems of Diophantine Equations

Results in Mathematics, 2009
Let \(f_1, f_2, \ldots , f_k \in {\mathbb {Z}}[X_0, X_1, \ldots , X_N]\) 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, 2022
In 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, 2018
Many 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, 2010
Summary: 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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