Results 321 to 330 of about 1,450,703 (382)

Differential Equation for the Transfer Matrix

International Journal of Theoretical Physics, 2004
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Shelykh, I. A., Ivanov, V. K.
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On Riccati Matrix Differential Equations

Results in Mathematics, 1997
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Knobloch, H. W., Pohl, M.
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Upper and lower eigenvalue summation bounds of the Lyapunov matrix differential equation and the application in a class time-varying nonlinear system

International Journal of Control, 2018
In this paper, we first show a class relation between the eigenvalue of functional matrix derivative and the derivative of function matrix eigenvalue.
Jianzhou Liu, Juan Zhang, Quanbing Li
semanticscholar   +1 more source

The Transfer Matrix of Differential-Algebraic Equations

Siberian Mathematical Journal, 2022
This paper is devoted to the study of the transfer function of linear differential-algebraic equations. The author considers the system \[ \begin{aligned} A\frac{d}{dt} x(t) + Bx(t)+ Uu(t)=&0,\quad t\in T=[0,\infty) \\ y(t)=Cx&(t), \end{aligned}\tag{1} \] with some known real \(n \times n\) matrices \(A\) and \(B\), such that \(\mathrm{det} A = 0\), an
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Matrix Stabilization Using Differential Equations

SIAM Journal on Numerical Analysis, 2017
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Guglielmi, N., LUBICH, CHRISTIAN
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Bundle bispectrality for matrix differential equations

Integral Equations and Operator Theory, 2001
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Sakhnovich, Alexander, Zubelli, Jorge P.
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A Fuchsian Matrix Differential Equation for Selberg Correlation Integrals

, 2010
We characterize averages of $${\prod_{l=1}^N|x - t_l|^{\alpha - 1}}$$ with respect to the Selberg density, further constrained so that $${t_l \in [0,x] (l=1,\dots,q)}$$ and $${t_l \in [x,1] (l=q+1,\dots,N)}$$ , in terms of a basis of solutions of a ...
P. Forrester, E. Rains
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Matrix Differential Equations and Kronecker Products

SIAM Journal on Applied Mathematics, 1973
The general solution is derived for a linear matrix differential equation of which the well-known equation $dX / dt = AX + XB$ is the simplest case. The method used relies on Kronecker matrix products, and some related results and extensions are also given.
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Matrix Riccati Differential Equations

Journal of the Society for Industrial and Applied Mathematics, 1965
Chiellini [1] considered this system, and showed that knowledge of n solutions, not on the same (n 2) -flat, reduced the solution to quadratures (this generalizes (I)). In [2] it was shown that knowledge of k suitably independent solutions, 1 < k < n, reduces the solution to k quadratures and the solution of a matrix-vector linear homogeneous system of
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A Converse Problem in Matrix Differential Equations

Canadian Mathematical Bulletin, 1973
Suppose X and F are nxn matrix solutions of the n X n matrix differential equation(1)such that(2)where J is some interval.
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