The minimum energy control problem for the positive time-varying linear systems is formulated and solved. Sufficient conditions for the existence of solution to the problem are established. A procedure for solving of the problem is proposed and illustrated by a numerical example.

It is shown that the asymptotic stability of positive 2D linear systems with delays is independent of the number and values of the delays and it depends only on the sum of the system matrices, and that the checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to testing that of the corresponding positive 1D systems without delays. The effectiveness of the...

Despite a heated debate regarding a cognitive mechanism of magnitude representation, little has been done to directly compare numerical and non-numerical estimation and provide a unified account of the two processes. In the current study, we examined estimation of numerical and non-numerical quantities on a continuum using various psychophysical functions. Inconsistent with the proportion reaso...

The paper presents problem formulations, theorems and illustrative numerical examples describing conditions for the existence and a form of solutions of the problem of matrix correction minimal with respect to the Euclidean norm of a pair of dual linear programming (LP) problems. The main results of the paper complement classical duality theory and can serve as a tool to tackle improper LP prob...

The m×n fuzzy linear systems are studied in [1-3] based on Friedman's method. Recently, Ezzati [3] proposed a new method for solving fuzzy linear systems, numerically better than Friedman's method. The main aim of this paper, is to develop Ezzati's method for solving m×n fuzzy linear systems. Numerical examples are used to illustrate the proposed model.

In “Shape From Specular Flow: Is One Flow Enough?” (Vasilyev, et al., 2011 [5]) we show that mirror shape can often be reconstructed from the observation of a single specular flow. In this technical report we provide additional details that, due to space constraints, could not be included in the paper. First we provide a derivation of the linear system for the reflection field derivative in the...

a new two-step implicit linear obrechkoff twelfth algebraic order method with vanished phase-lag and its first, second, third and fourth derivatives is constructed in this paper. the purpose of this paper is to develop an efficient algorithm for the approximate solution of the one-dimensional radial schrodinger equation and related problems. this algorithm belongs in the category of the multist...

of the eigenvectors of symmetric tridiagonal matrices is one of the most basic tasks in numerical linear algebra. It is a widely known fact that, in the case of well separated eigenvalues, the eigenvectors can be evaluated with high relative accuracy. Nevertheless, in general, each coordinate of the eigenvector is evaluated with only high absolute accuracy. In particular, those coordinates whos...

This paper is on the elasto-plastic analysis of plane stress problems. A five-parameter yield surface is presented. This yield criterion uses associate flow along with mixed hardening rule. The analytical formulations are written and related computer program for non-linear analysis is prepared. Finally, based on the formulations, numerical examples are solved.