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A realization method of the transfer functions containing variable parameter
Proceedings of 1994 American Control Conference - ACC '94, 1995In this paper, we propose a method for realizing transfer functions containing variable parameter, by the state-space method. By using this method, variable transfer functions (VTF) can be often realized with a minimal dimension. In case that a minimal realization can not be obtained, the realization dimension can be fairly reduced.
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Comments on "A Method of Generating Functions of Several Variables
IEEE Transactions on Electronic Computers, 1964Mutual inductance is used to reduce the effect of inductance and thus increase speed. If wires are close together when current is switched from one to another, there is very little change in magnetic field, and consequently, very little energy is necessary to do the switching. Therefore, the effective inductance is small. The required close coupling is
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A method for approximating functions of several variables
Mathematical Notes of the Academy of Sciences of the USSR, 1976This material is protec ted by copyright registered in the name o f Plenum Publishing Corporation, 227 West 1 7th Street, N e w York, N. Y. 10011. N o part o f this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any m eans, electronic, mechanical, photocopying, microfilming, recording or otherwise, w i ...
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A new extension of Piyavskii’s method to Hölder functions of several variables
Applied Mathematics and Computation, 2008The following global optimization problem is considered: \[ \text{minimize }f(x)\text{ subject to }x\in P, \] where \(x\in\mathbb{R}^n\), \(f(x)\) is a real Hölder function with constant \(h> 0\) and exponent \(1/\beta\), \(\beta> 1\), and \(P\) is the Cartesian product of \(n\) one-dimensional closed intervals.
Mohamed Rahal, Abdelkader Ziadi
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Maximization Methods for Functions of a Complex Variable
Proceedings of the IRE, 1927The maxima and minima of a function of a real variable are found by equating to zero the derivative of the function. In the case of a function of a complex variable however the derivative is a vector quantity, so that conditions may be imposed upon its direction as well as upon its magnitude.
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LINKING THE COMPLEX VARIABLE BOUNDARY-ELEMENT METHOD TO THE ANALYTIC FUNCTION METHOD
Numerical Heat Transfer, 1984This paper is concerned with two methods of attack on boundary value problems such as the Dirichlet and Neumann problems for Laplace's equation. One such method is the analytic function method (AFM); the other is the complex variable boundary-element method (CVBEM).
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A New Method for Generating a Function of Two Independent Variables
IEEE Transactions on Electronic Computers, 1957A new concept in the design of a function generator of two independent variables is presented. This design is of the photoformer variety and utilizes pulse techniques to obtain the advantages of accuracy and semiautomatic calibration and self-correction. With this particular design, many of the objections of other types of photoformers, which have been
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A filled function method for finding a global minimizer of a function of several variables
Mathematical Programming, 1990This paper is concerned with the problem of finding a global minimizer of a twice continuously differentiable function F(x) on \(R^ n\), with \(F(x)\to +\infty\) as \(\| x\| \to +\infty\). The concept of filled function is introduced, a particular filled function is constructed and its properties are analyzed.
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The variable gradient method for generating liapunov functions
Transactions of the American Institute of Electrical Engineers, Part II: Applications and Industry, 1962A logical and systematic method of generating Liapunov functions for determining stability of nonlinear autonomous systems is introduced. The method is based upon the assumption of a variable gradient function from which both V and V may be determined.
D. G. Schultz, J. E. Gibson
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A method for solving the functional equation with variable delay
Radiophysics and Quantum Electronics, 1999Mathematical simulation of physical conditions at a moving boundary in problems of wave reflection leads to a finite-difference equation with variable delay. If the reflector velocity is smaller than the wave-propagation velocity, the existence and uniqueness of the equation solution is proved using the principle of contraction maps and the method of ...
Yu. A. Bobkov, G. A. Utkin
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