72 research outputs found
Guaranteeing Input Tracking For Constrained Systems: Theory and Application to Demand Response
A method for certifying exact input trackability for constrained discrete
time linear systems is introduced in this paper. A signal is assumed to be
drawn from a reference set and the system must track this signal with a linear
combination of its inputs. Using methods inspired from robust model predictive
control, the proposed approach certifies the ability of a system to track any
reference drawn from a polytopic set on a finite time horizon by solving a
linear program. Optimization over a parameterization of the set of reference
signals is discussed, and particular instances of parameterization of this set
that result in a convex program are identified, allowing one to find the
largest set of trackable signals of some class. Infinite horizon feasibility of
the methods proposed is obtained through use of invariant sets, and an implicit
description of such an invariant set is proposed. These results are tailored
for the application of power consumption tracking for loads, where the operator
of the load needs to certify in advance his ability to fulfill some requirement
set by the network operator. An example of a building heating system
illustrates the results.Comment: Technical Not
Quantum Mechanical Treatment of the Problem of Constraints in Nonextensive Formalism Revisited
The purity of Werner state in nonextensive formalism associated with two
different constraints has been calculated in a previous paper by G. B. Bagci et
al. [G. B. Bagci et al., Int. J. Mod. Phys. 20, 2085 (2006)]. Two different
results have been obtained corresponding to ordinary probability and escort
probability whereas the former has been shown to result in negative values
thereby leading authors to deduce the advantage of escort probabilities over
ordinary probabilities. However, this results have been only for a limited
interval of q values which lie between 0 and 1. In this paper, we solve the
same problem for all values of nonextensive index q by using a perturbative
approach and show that the simultaneous use of both types of constraint is
necessary in order to obtain the solution for whole spectrum of nonextensive
index. In this sense, the existence of these different constraints in
nonextensive formalism must not be seen as a deficiency in the formalism but
rather must be welcomed as a means of providing solution for all values of
parameter q.Comment: 7 page
Exact Spin and Pseudo-Spin Symmetric Solutions of the Dirac-Kratzer Problem with a tensor potential via Laplace Transform Approach
Exact bound state solutions of the Dirac equation for the Kratzer potential
in the presence of a tensor potential are studied by using the Laplace
transform approach for the cases of spin- and pseudo-spin symmetry. The energy
spectra is obtained in the closed form for the relativistic as well as
non-relativistic cases including the Coulomb potential. It is seen that our
analytical results are in agrement with the ones given in literature. The
numerical results are also given in a table for different parameter values.Comment: 8 page
Approximate Solution of the effective mass Klein-Gordon Equation for the Hulthen Potential with any Angular Momentum
The radial part of the effective mass Klein-Gordon equation for the Hulthen
potential is solved by making an approximation to the centrifugal potential.
The Nikiforov-Uvarov method is used in the calculations. Energy spectra and the
corresponding eigenfunctions are computed. Results are also given for the case
of constant mass.Comment: 12 page
The sensitivity of the zero position of the forward--backward asymmetry to new physics effects in the B -> K^\ast \mu^+ \mu^- decay
Starting with the most general effective Hamiltonian comprising scalar and
vector operators beyond the standard model, we discuss the impact of various
operators on the zero of the forward--backward asymmetry in the dileptonic B
decay B -> K^\ast \mu^+ \mu^-. We find that, zero of the asymmetry is highly
sensitive to the sign and size of the vector--vector operators and opposite
chirality counterparts of the usual operators. The scalar--scalar four--fermion
operators, on the other hand, have mild effect on the zero of the asymmetry.
Our results are expected to be checked in the near future experiments.Comment: 16 pp, 6 ps fig
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