The rank of the Kalman’s controllability matrix linear systems depends on bases invariant cyclic subspaces state generated by columns input matrix. case Jordan form and scalar control is studied in detail. It shown that dimension determined index numbers first non-zero elements coordinate blocks formation these completely disclosed. Based this, basis space a constructive system constructed.

We study a class of planar billiards having the remarkable property that their phase space consists up to a set of zero measure of two invariant sets formed by orbits moving in opposite directions. The tables of these billiards are tubular neighborhoods of differentiable Jordan curves that are unions of finitely many segments and arcs of circles. We prove that under proper conditions on the seg...

The need for achieving optimal performance for database applications is a primary objective for database designers and a primary requirement for database end users. Partitioning is one of the techniques used by designers to improve the performance of database access. The purpose of this study was to investigate the effect of horizontal table partitioning on query Response Time (RT) using three ...

We study Einstein gravity coupled to a massless scalar field in a static spherically symmetric space-time in four dimensions. Black hole solutions exist when the kinetic energy of the scalar field is negative, that is, for a phantom field. These “scalar black holes” have an infinite horizon area and zero temperature. They are related through a conformal transformation with similar objects in th...

An external magnetic field induces large relative changes in the entropy of one-dimensional quantum spin systems at finite temperatures. This leads to a magnetocaloric effect, i.e. a change in temperature during an adiabatic (de)magnetization process. Several examples of one-dimensional spin-1/2 models are studied by employing the Jordan-Wigner transformation and exact diagonalization. During a...

This paper presents a parallel algorithm for matrix inversion on a torus interconnected MIMD-MC multi-processor. This method is faster than the parallel implementations of other widely used methods namely Gauss-Jordan, Gauss-Seidal or LU decomposition based inversion. This new algorithm also introduces a novel technique, called adaptive pivoting, for solving the zero pivot problem at no cost. O...

We study the asymptotic distribution of zeros for the random polynomials Pn(z) = ∑n k=0 AkBk(z), where {Ak}k=0 are non-trivial i.i.d. complex random variables. Polynomials {Bk}k=0 are deterministic, and are selected from a standard basis such as Szegő, Bergman, or Faber polynomials associated with a Jordan domain G bounded by an analytic curve. We show that the zero counting measures of Pn conv...

The problem of deadbeat control is now to find a feedback law F that will drive an arbitrary initial state Xo to Xk = 0 after a minimum number of steps k. All subsequent xi (for i > k) are then also zero, which explains the term 'deadbeat'. For standard state-space systems (i.e. E In) this is known to be equivalent to finding a feedback F such that all eigenvalues of A + BF lie at h = O, and A ...

Compact canonical quantization on the light cone (DLCQ) is examined in the limit of infinite periodicity lenth L. Pauli Jordan commutators are found to approach continuum expressions with marginal non causal terms of order L−3/4 traced back to the handling of IR divergence through the elimination of zero modes. In contrast direct quantization in the continuum (CLCQ) in terms of field operators ...

Compact canonical quantization on the light cone (DLCQ) is examined in the limit of infinite periodicity lenth L. Pauli Jordan commutators are found to approach continuum expressions with marginal non causal terms of order L −3/4 traced back to the handling of IR divergence through the elimination of zero modes. In contrast direct quantization in the continuum (CLCQ) in terms of field operators...