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931.
932.
For any finite dimensional control system with arbitrary cost, Pontryagin's Maximum Principle (PMP) [N. Bensalem, Localisation des courbes anormales et problème d'accessibilité sur un groupe de Lie hilbertien nilpotent de degré 2, Thèse de doctorat, Université de Savoie, 1998. [6]] gives necessary conditions for optimality of trajectories. In the infinite dimensional case, it is well known that these conditions are no more true in general. The purpose of this paper is to establish an “approached” version of PMP for infinite dimensional bilinear systems, with fixed final time and without constraints on the final state. Moreover, if the set of control is contained in a closed bounded convex subset with operators defining its dynamics are compact, or if it is contained in a finite dimensional space, we get an “exact” version of PMP. We also give two applications of these results. The first one deals with sub-Riemannian geometry on nilpotent Hilbertian Lie groups for which we can define a sub-Riemannian distance. The second one deals with heat equation for which we analyse the necessary conditions to give the optimal controls. 相似文献
933.
934.
X.J. Liu E.Y. Jiang Z.Q. Li B.L. Li W.R. Li A. Yu P. Wu H.L. Bai 《Journal of magnetism and magnetic materials》2006
We have investigated the magnetic, electrical transport and electron spin resonance (ESR) properties of polycrystalline Nd0.85Na0.15MnO3 prepared by sol–gel method. A ferromagnetic–paramagnetic (FM–PM) transition is observed around 110 K, which is not accompanied by a metal–insulator transition. The sample displays the complete PM state associated with the ESR spectra fitted by single Lorentzian line shape above 130 K. Below 130 K, ESR spectra become distorted and then linewidth increases rapidly, where short-range magnetic order develops and coexists with PM phase due to the inhomogeneous magnetic state. In addition, the large difference between the activation energies obtained from the resistivity and ESR parameters (peak-to-peak linewidth and line intensity) at the frame of adiabatic small polaron hopping model is pointed out for Nd0.85Na0.15MnO3. 相似文献
935.
936.
Tunable properties of light propagation in photonic crystal fibers filled with liquid crystals, called photonic liquid crystal
fibers (PLCFs) are presented. The propagation properties of PLCFs strongly depend on contrast between refractive indices of
the solid core (pure silica glass) and liquid crystals (LCs) filing the holes of the fiber. Due to relatively strong thermo-optical
effect, we can change the refractive index of the LC by changing its temperature. Numerical analysis of light propagation
in PLCF, based on two simulation methods, such as finite difference (FD) and multipole method (MM) is presented. The numerical
results obtained are in good agreement with our earlier experimental results presented elsewhere [1]. 相似文献
937.
Steady state temperature distribution in a model Czochralski crucible has been mapped by liquid crystal thermography (LCT).
The crucible is a water-filled glass beaker. Water is used as the test fluid because of ease of experimentation, as well as
the availability of correct thermo-physical properties. In addition, the Prandtl number of water matches those of molten oxides.
A copper cylinder whose diameter is smaller than that of the beaker is placed centrally at the water surface. Convection patterns
are set up by applying constant temperature difference between the crucible wall and the cylinder surface, in the temperature
range of the liquid crystals. The cylinder is given a fixed rotation, thus creating mixed convection conditions in the test
fluid. The LCT images recorded in the present study clearly reveal convective rolls, and the interaction of buoyancy-driven
convection in the crucible with cylinder rotation. The resulting temperature distributions match numerical simulation quite
well. The pure buoyancy and pure rotation experiments result in axisymmetric temperature fields, while in mixed convection,
the field is unsteady and three dimensional. 相似文献
938.
N. F. Morozov Yu. K. Startsev Yu. V. Sud’enkov A. A. Suslikov G. A. Baranov A. A. Belyaev 《Technical Physics》2006,51(7):872-877
The radiation hardness and mechanical strength of single-and two-phase glasses are studied for the case when nanosecond laser pulses (λ= 1.06 μm, τ0.5 ≈ 12.5 ns) are focused inside the material. Laser interferometry is applied to measure the displacement of the free surface, find optical breakage thresholds, and carry out the fractographic analysis of damaged regions. It is shown that breakdown channels and damage regions develop in a nonlinear manner according to optical breakdown mechanisms, changing each other with an increase in the laser energy. The strength of the two-phase glass is found to be more than four times that of the single-phase glass, although their elastic properties differ insignificantly. Such a considerable difference in the hardness of these materials with chemically similar constitutents is attributed to the presence of the double-lattice nanometer-scale structure of the two-phase glass. 相似文献
939.
This paper presents an innovative application of Augmented Reality (AR) techniques in the field of industrial engineering
in which the user explores data from numerical simulations or the results of measurements and experiments, superimposed to
the real object that they refer to. The user observes the object through a tablet PC, used as a video see-through handheld
display. Data are visualized superimposed to the real object that represents a spatial reference relative to which the user
can refer to, so the exploration is more natural compared to a traditional visualization software. Moreover, we have developed
a new framework, called VTK4AR, that provides a set of useful software classes for the rapid development of AR applications
for scientific visualization. VTK4AR is built on top of VTK (an open source API for scientific visualization), so it will
be possible to employ a wide range of visualization techniques in many application fields, and moreover, it is possible to
interactively manipulate data-sets in order to achieve a more effective way of visualization. 相似文献
940.
V. N. Kizhnyaev A. F. Pokatilov L. I. Vereshchagin L. V. Adamova A. P. Safronov A. I. Smirnov 《Russian Journal of Applied Chemistry》2006,79(7):1167-1173
Carbon-chain polymers with 1,3,4-oxadiazole rings were prepared by radical polymerization and polymer-analogous transformations. The kinetic relationships of the polymerization of vinyl-1,3,4-oxadiazole monomers and some properties of the resulting polymers were studied. The thermodynamics of interaction of poly-2-vinyl-5-methyl-1,3,4-oxadiazole, a nonionic water-soluble polymer, with water was examined. 相似文献