311 research outputs found
Composite S-Brane Solutions On Product Of Ricci-Flat Spaces
A family of generalized -brane solutions with orthogonal intersection
rules and Ricci-flat factor spaces in the theory with several scalar fields
and antisymmetric forms is considered. Two subclasses of solutions with
power-law and exponential behaviour of scale factors are singled out. These
subclasses contain sub-families of solutions with accelerated expansion of
certain factor spaces. The solutions depend on charge densities of branes,
their dimensions and intersections, dilatonic couplings and the number of
dilatonic fields.Comment: To appear in GR
Passification-based adaptive control with quantized measurements
We propose and analyze passification-based adaptive controller for linear uncertain systems with quantized measurements. Since the effect of the quantization error is similar to the effect of a disturbance, the adaptation law with σ-modification is used. To ensure convergence to a smaller set, the parameters of the adaptation law are being switched during the evolution of the system and a dynamic quantizer is used. It is proved that if the quantization error is small enough then the proposed controller ensures convergence of the state of a hyper-minimum-phase system to an arbitrarily small vicinity of the origin. Applicability of the proposed controller to polytopic-type uncertain systems and its efficiency is demonstrated by the example of yaw angle control of a flying vehicle
Adaptive control of passifiable linear systems with quantized measurements and bounded disturbances
We consider a linear uncertain system with an unknown bounded disturbance under a passification-based adaptive controller with quantized measurements. First, we derive conditions ensuring ultimate boundedness of the system. Then we develop a switching procedure for an adaptive controller with a dynamic quantizer that ensures convergence to a smaller set. The size of the limit set is defined by the disturbance bound. Finally, we demonstrate applicability of the proposed controller to polytopic-type uncertain systems and its efficiency by the example of a yaw angle control of a flying vehicle
Decay of metastable current states in one-dimensional resonant tunneling devices
Current switching in a double-barrier resonant tunneling structure is studied
in the regime where the current-voltage characteristic exhibits intrinsic
bistability, so that in a certain range of bias two different steady states of
current are possible. Near the upper boundary V_{th} of the bistable region the
upper current state is metastable, and because of the shot noise it eventually
decays to the stable lower current state. We find the time of this switching
process in strip-shaped devices, with the width small compared to the length.
As the bias V is tuned away from the boundary value V_{th} of the bistable
region, the mean switching time \tau increases exponentially. We show that in
long strips \ln\tau \propto (V_{th} -V)^{5/4}, whereas in short strips \ln\tau
\propto (V_{th} -V)^{3/2}. The one-dimensional geometry of the problem enables
us to obtain analytically exact expressions for both the exponential and the
prefactor of \tau. Furthermore, we show that, depending on the parameters of
the system, the switching can be initiated either inside the strip, or at its
ends.Comment: 12 pages, 5 figures, update to published versio
Difficulties in learning the phonetics of the Chinese language, basic mistakes and means of correction
This article reviews the main difficulties Russian-speaking students encounter while studying the phonetics of the Chinese language, the mistakes that are often made by them at the beginning of learning pronunciation, as well as ways of correcting those mistakes
Longitudinal muon spin relaxation in high purity aluminum and silver
The time dependence of muon spin relaxation has been measured in high purity
aluminum and silver samples in a longitudinal 2 T magnetic field at room
temperature, using time-differential \musr. For times greater than 10 ns, the
shape fits well to a single exponential with relaxation rates of
\lambda_{\textrm{Al}} = 1.3 \pm 0.2\,(\textrm{stat.}) \pm
0.3\,(\textrm{syst.})\,\pms and \lambda_{\textrm{Ag}} = 1.0 \pm
0.2\,(\textrm{stat.}) \pm 0.2\,(\textrm{syst.})\,\pms
Stochastic current switching in bistable resonant tunneling systems
Current-voltage characteristics of resonant-tunneling structures often
exhibit intrinsic bistabilities. In the bistable region of the I-V curve one of
the two current states is metastable. The system switches from the metastable
state to the stable one at a random moment in time. The mean switching time
\tau depends exponentially on the bias measured from the boundary of the
bistable region V_{th}. We find full expressions for \tau (including
prefactors) as functions of bias, sample geometry, and in-plane conductivity.
Our results take universal form upon appropriate renormalization of the
threshold voltage V_{th}. We also show that in large samples the switching
initiates inside, at the edge, or at a corner of the sample depending on the
parameters of the system.Comment: 21 pages, 5 figure
Controlling cluster synchronization by adapting the topology
We suggest an adaptive control scheme for the control of zero-lag and cluster
synchronization in delay-coupled networks. Based on the speed-gradient method,
our scheme adapts the topology of a network such that the target state is
realized. It is robust towards different initial condition as well as changes
in the coupling parameters. The emerging topology is characterized by a
delicate interplay of excitatory and inhibitory links leading to the
stabilization of the desired cluster state. As a crucial parameter determining
this interplay we identify the delay time. Furthermore, we show how to
construct networks such that they exhibit not only a given cluster state but
also with a given oscillation frequency. We apply our method to coupled
Stuart-Landau oscillators, a paradigmatic normal form that naturally arises in
an expansion of systems close to a Hopf bifurcation. The successful and robust
control of this generic model opens up possible applications in a wide range of
systems in physics, chemistry, technology, and life science
On the Coupling of Gravitons to Matter
Using relationships between open and closed strings, we present a
construction of tree-level scattering amplitudes for gravitons minimally
coupled to matter in terms of gauge theory partial amplitudes. In particular,
we present examples of amplitudes with gravitons coupled to vectors or to a
single fermion pair. We also present two examples with massive graviton
exchange, as would arise in the presence of large compact dimensions. The gauge
charges are represented by flavors of dynamical scalars or fermions. This also
leads to an unconventional decomposition of color and kinematics in gauge
theories.Comment: RevTex, 4 page
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