Results 31 to 40 of about 72,021 (274)

Analysis of Linear Variable Coefficient Delay Differential-Algebraic Equations [PDF]

Journal of Dynamics and Differential Equations, 2014
This article studies delay-differential algebraic equations (DDAEs) described by \[ A \dot{x}(t) + B x(t) + C x(t-\tau) = f, \] where \(A\), \(B\), \(C\) and \(f\) are time-varying matrices and a vector. Explicit DDAEs, given by \[ \begin{align*}{ \dot{x}_1(t) &= D x (t) + E x(t-\tau) + f_1 \cr x_2(t) &= F x_1(t) + G x(t-\tau) + f_2 \cr}\end{align*}, \;
Phi Ha, Volker Mehrmann, Andreas Steinbrecher   +2 more
openaire   +2 more sources

Zariski closures of reductive linear differential algebraic groups

Advances in Mathematics, 2011
26 pages, more detailed proof of Proposition 4 ...
Minchenko, Andrey, Ovchinnikov, Alexey
openaire   +2 more sources

Galois theory of parameterized differential equations and linear differential algebraic groups [PDF]

, 2006
We present a Galois theory of parameterized linear differential equations where the Galois groups are linear differential algebraic groups, that is, groups of matrices whose entries are functions of the parameters and satisfy a set of differential equations with respect to these parameters. We present the basic constructions and results, give examples,
Cassidy, Phyllis J., Singer, Michael F.
openaire   +2 more sources

DIFFERENCE ALGEBRAIC RELATIONS AMONG SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS [PDF]

Journal of the Institute of Mathematics of Jussieu, 2015
We extend and apply the Galois theory of linear differential equations equipped with the action of an endomorphism. The Galois groups in this Galois theory are difference algebraic groups, and we use structure theorems for these groups to characterize the possible difference algebraic relations among solutions of linear differential equations.
Di Vizio, Lucia, Hardouin, Charlotte, Wibmer, Michael   +2 more
openaire   +5 more sources

Quadratic Poisson brackets and Drinfel'd theory for associative algebras

, 1995
Quadratic Poisson brackets on associative algebras are studied. Such a bracket compatible with the multiplication is related to a differentiation in tensor square of the underlying algebra.
A. A. Balinsky, A. A. Balinsky, A. Balinsky, B. A. Kupershmidt, B. A. Kupershmidt, E. K. Sklyanin, M. A. Semenov-Tyan-Shansky, V. G. Drinfeld, Yu. Burman   +8 more
core   +3 more sources

Carleman linearization of differential-algebraic equations systems

Results in Applied Mathematics
Submitted to Journal of Computational and Applied ...
Marcos A. Hernández-Ortega, C.M. Rergis, A. Román-Messina, Erlan R. Murillo-Aguirre   +3 more
openaire   +2 more sources

Algebraic Relations Among Solutions of Linear Differential Equations [PDF]

Transactions of the American Mathematical Society, 1986
Using power series methods, Harris and Sibuya [3,4] recently showed that if k k is an ordinary differential field of characteristic zero and y ≠ 0 y \ne 0 is an element of a differential extension of k k such that y y and 1 /
openaire   +1 more source

An Adaptive Human Pilot Model With Reaction Time Delay for Enhanced Adaptive Control in Piloted Systems

International Journal of Adaptive Control and Signal Processing, EarlyView.
This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
wiley   +1 more source

Analysis and reformulation of linear delay differential-algebraic equations [PDF]

The Electronic Journal of Linear Algebra, 2012
General linear systems of delay differential-algebraic equations (DDAEs) of arbitrary order are studied in this paper. Under some consistency conditions, it is shown that every linear high- order DAE can be reformulated as an underlying high-order ordinary differential equation (ODE) and that every linear DDAE with single delay can be reformulated as a
Phi Ha, Volker Mehrmann
openaire   +1 more source

Adopting Maxima as an Open-Source Computer Algebra System into Mathematics Teaching and Learning

, 2017
In this workshop, a computer algebra system (CAS) Maxima will be introduced. The primary audience of this workshop is mathematics educators, particularly school teachers and university professors who have experience in teaching Calculus and Linear ...
N. Karjanto, H. S. Husain
semanticscholar   +1 more source