The problem of the angular stabilization of a rigid body with an arbitrary triaxial ellipsoid of inertia is solved. The control strategy is based on a kind of a proportional integral derivative (PID) ...controller, where the conventional integral element is replaced with a more flexible control option, which assumes the presence of a distributed delay (integral term) in the control torque. In addition, a nonlinear uniform restoring torque is used for the first time instead of the usual linear restoring torque. Analytical substantiation of the asymptotic stability of the program motion involves a special construction of the Lyapunov–Krasovskii functional. A theorem is proved that provides sufficient conditions for the asymptotic stability of the program mode of angular motion of the body in the form of constructive inequalities with respect to the control parameters. The effectiveness of the constructed control is demonstrated, which provides both the high speed and smoothness of transient processes.
The charge-exchange strength functions
for the isotopes
Mo are presented. Both experimental data obtained for the strength functions
in (
) and (
He,
) reactions and the strength functions
calculated ...within the self-consistent theory of finite Fermi systems are analyzed. The resonance structure of the strength function
is investigated, and the Gamow–Teller, analog, and pygmy resonances are isolated. The quenching effect manifesting itself as a sum-rule shortfall, which changes the normalization of the strength function
, is studied. It is indicated that the resonance structure of the strength function
is of decisive importance for the calculation and analysis of neutrino capture by nuclei.
The possibility of laboratory X-ray reflectometry study of the structure of dimyristoyl phosphatidylserine (DMPS) phospholipid monolayers on the water surface in various phase states has been ...demonstrated.
We propose an approach that allows simultaneous determination of the levels of M and G isotypes of antibodies to the panel of glycans using microarrays. The level of IgG antibodies to 3’-O-su-Le
a
...glycan detects patients with colorectal cancer with a sensitivity of 69.77% and specificity of 62.75%. The percentage of correctly classified colorectal cancer patients with the use of a combination of two markers IgM antibodies to glycans 3’-sialyl-TF and 3’-O-su-Le
a
is as high as 74.23%. The levels of IgM antibodies to 3’-O-su-Le
a
glycan differ significantly in patients with and without regional metastases. The levels of some of antiglycan IgM or IgG antibodies differed significantly in patients with tumors of different location and differentiation.
We consider the spin-1/2 model on the honeycomb lattice in the presence of a weak magnetic field hα << 1. Such a perturbation destroys the exact integrability of the model in terms of gapless ...fermions and static Z2 fluxes. We show that it results in the appearance of a long-range tail in the irreducible dynamic spin correlation function: <<s(z)(t,r)s(z)(0,0)>> ∝ h(z)(2)f(t,r), where f(t,r) ∝ max(t,r)-4 is proportional to the density polarization function of fermions.
This paper deals with the problem of uniaxial stabilization of the angular position of a rigid body exposed to a nonstationary perturbing torque. The perturbing torque is represented as a linear ...combination of homogeneous functions with variable coefficients. It is assumed that the order of homogeneity of perturbations does not exceed the order of homogeneity of the restoring torque, and the variable coefficients in the components of the disturbing torque have zero mean values. A theorem on sufficient conditions for the asymptotic stability of a programmed motion of the body is proven using the Lyapunov direct method. The determined conditions guaranteeing the solution to the problem of body uniaxial stabilization do not impose any restrictions on the amplitudes of oscillations of the disturbance torque coefficients. Results of numerical modeling are presented that confirm the conclusions obtained analytically.
BaTiO
3
/SrTiO
3
superlattice has been grown on (001)MgO substrate by pulsed laser deposition. The unit cell parameters of BaTiO
3
and SrTiO
3
layers and modulation period have been determined using ...X-ray diffraction. It was found that BaTiO
3
and SrTiO
3
layers revealed the pseudo-tetragonal distortion with out-of-plane and in-plane polarization, respectively. Electrostatic interaction of the alternating layers leads to the polarization rotations and to the symmetry lowering of the superlattice to orthorhombic or monoclinic with partial depolarization of the Raman spectra. It was found that the phase transition to the paraelectric phase occurs at ∼480 K.
The cross section of the process e+e−→ωη is measured in the center-of-mass energy range 1.34–2.00 GeV. The analysis is based on data collected with the SND detector at the VEPP-2000 e+e− collider. ...The measured e+e−→ωη cross section is the most accurate to date. A significant discrepancy is observed between our data and previous BABAR measurements.
This paper deals with a satellite in a circular near-Earth orbit. The satellite is equipped with an electrodynamic attitude control system based on Lorentz and magnetic torque properties. The ...gravitational disturbing torque acting on the satellite attitude dynamics is taken into account since it is the largest disturbing torque. The possibility of using electrodynamic attitude control system for satellite three-axis stabilization in the Konig frame is analyzed. By the use of the Lyapunov direct method, conditions under which electrodynamic control solves the problem for a dynamically symmetric satellite are obtained. The procedure for the successive constructing of Lyapunov functions is suggested. On the basis of the analysis of nonlinear differential equations system, the domain of the control parameter values is found for which one can guarantee the asymptotic stability of the programmed satellite motion. The results of a numerical simulation are presented to demonstrate the effectiveness of the proposed approach.
The expected increase of luminosity at sLHC by a factor of ten with respect to LHC luminosities has serious consequences for the ATLAS liquid argon calorimeters in the end-cap (EMEC, HEC) and in the ...forward region (FCAL). Small modules of each type of calorimeter have been built and exposed to a high intensity (up to 10
12
pps) proton beam of 60
GeV at IHEP/Protvino. The correlation between beam intensity and the read-out signal has been studied. Also, the dependence of the HV currents as well as calorimeter module temperature on the beam intensity has been measured.
PDF
