Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Phailaung Phohomsiri"'
Publikováno v:
Discrete Dynamics in Nature and Society, Vol 2004, Iss 2, Pp 307-314 (2004)
A simple accelerated third-order Runge-Kutta-type, fixed time step, integration scheme that uses just two function evaluations per step is developed. Because of the lower number of function evaluations, the scheme proposed herein has a lower computat
Externí odkaz:
https://doaj.org/article/6e55fe23a2cf43bf954348224e81e183
Publikováno v:
Applied Mathematics and Computation. 190:999-1006
This paper presents a direct proof of the recursive formulae for the generalized LM- inverse of a matrix augmented by a column vector. The recursive relations are proved by direct verification of the four conditions of the generalized LM-inverse. Sev
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 463:1435-1446
The power of the new equations of motion developed in part I of this paper is illustrated using three examples from multi-body dynamics. The first two examples deal with the problem of accurately controlling the orientation of a rigid body, while the
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 463:1421-1434
This paper gives the general constrained Poincaré equations of motion for mechanical systems subjected to holonomic and/or nonholonomic constraints that may or may not satisfy d'Alembert's principle at each instant of time. It also extends Gauss's p
Publikováno v:
Journal of Engineering Mechanics. 132:690-703
In this paper we present and propose a design methodology that uses intentional time delays for the active control of structures. We use here positive velocity-feedback, time-delayed control and show that its performance is, in general, superior to t
Autor:
Byungrin Han, Phailaung Phohomsiri
Publikováno v:
Applied Mathematics and Computation. 174:81-97
In this paper we provide an alternative proof for the recursive formulae for the determination of the generalized Moore-Penrose M-inverse of a matrix through the direct verification of the four properties of Moore-Penrose M-inverse.
Publikováno v:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 462:2097-2117
We present the new, general, explicit form of the equations of motion for constrained mechanical systems applicable to systems with singular mass matrices. The systems may have holonomic and/or non-holonomic constraints, which may or may not satisfy
Publikováno v:
Structural Control and Health Monitoring. 13:536-552
This paper explores a new methodology for the active control of structures through the use of time delayed, positive feedback proportional control. The idea is to utilize intentional time delays, which may not necessarily be small when compared with
Autor:
Phailaung Phohomsiri
Publikováno v:
Journal of Optimization Theory and Applications. 127:665-669
We use the concept of generalized inverses to show that the extrema of the function \(G(x) = \|Ax-b\|^2\) are minima, A being a rectangular matrix not necessarily of full rank
Publikováno v:
Journal of Optimization Theory and Applications. 127:639-663
In this paper, we obtain recursive relations for the determi- nation of the generalized Moore-Penrose M-inverse of a matrix. We develop separate relations for situations when a rectangular matrix is augmented by a row vector and when such a matrix is