For an n-by-n complex matrix A in a block form with the (possibly) nonzero blocks only on the diagonal above the main one, we consider two other matrices whose nonzero entries are along the diagonal above the main one and consist of the norms or minimum moduli of the diagonal blocks of A. In this paper, we obtain two inequalities relating the numeical radii of these matrices and also determine ...

This paper evaluates a new and simple controller design method based on QFT (quantitative feedback theory) for a two-link manipulator whose first link is rigid and the second is flexible. A piezoelectric patch is attached to the surface of the flexible link for vibration suppression of it. This system is modeled as a nonlinear multi-input multi-output (MIMO) control systems whose inputs are two...

This paper presents the study of the optimized bi-dimensional wood structures, truss type, applying the method of genetic algorithms. Assessment is performed by means of a computer program called OPS (Optimization of Plane Structures). The purpose is to meet the optimum geometric configuration taking into account the volume reduction. Different strategies are considered for the positioning of d...

Let σk(n) be the sum of the kth powers of the divisors of n. Here, we prove that if (Fn)n≥1 is the Fibonacci sequence, then the only solutions of the equation σk(Fm) = Fn in positive integers k ≥ 2, m and n have k = 2 and m ∈ {1, 2, 3}. The proof uses linear forms in two and three logarithms, lattice basis reduction, and some elementary considerations.

The article discusses a synthesis strategy aimed at reducing power consumption consumed by logic structures implemented in FPGAs. essence of the method is to carry out multioutput function decomposition, which takes into account problem dynamic reduction. presents several techniques leading such reduction: preliminary ordering variables taking probabilities occurrence value 1 for individual var...

today power consumption is considered to be one of the important issues. therefore, its reduction plays a considerable role in developing systems. previous studies have shown that approximately 50% of total power consumption is used in cache memories. there is a direct relationship between power consumption and replacement quantity made in cache. the less the number of replacements is, the less...

reliability evaluation of a large-scale composite power system faces to numerous events/outage and consequently imposes an extensive burden of calculations. in order to simplify the problem, determination of an equivalent system for large-scale power system is inevitable. this paper proposes a framework as reduction technique to separate a composite power system to three areas: external area, o...

Let σk(n) be the sum of the kth powers of the divisors of n. Here, we prove that if (Fn)n≥1 is the Fibonacci sequence, then the only solutions of the equation σk(Fm) = Fn in positive integers k ≥ 2, m and n have k = 2 and m ∈ {1, 2, 3}. The proof uses linear forms in two and three logarithms, lattice basis reduction, and some elementary considerations.