2,078 research outputs found
Novel Master Formula for Twist-3 Soft-Gluon-Pole Mechanism to Single Transverse-Spin Asymmetry
We prove that twist-3 soft-gluon-pole (SGP) cross section for single spin
asymmetries is determined by a certain ``primordial'' twist-2 cross section up
to kinematic and color factors in the leading order perturbative QCD. This
unveils universal structure behind the SGP cross sections in a variety of hard
processes, and also the special role of the scale invariance in the
corresponding primordial cross section, which leads to remarkable
simplification of the SGP cross sections for the production of massless
particle, such as those for pion production p^\uparrow p \to \pi X and
direct-photon production p^\uparrow p \to \gamma X.Comment: 4 pages, 4 eps figures. To appear in the proceedings of 15th
International Workshop on Deep-Inelastic Scattering and Related Subjects
(DIS2007), Munich, Germany, 16-20 Apr 200
Stochastic Asymptotic Stabilizers for Deterministic Input-Affine Systems based on Stochastic Control Lyapunov Functions
In this paper, a stochastic asymptotic stabilization method is proposed for
deterministic input-affine control systems, which are randomized by including
Gaussian white noises in control inputs. The sufficient condition is derived
for the diffucion coefficients so that there exist stochastic control Lyapunov
functions for the systems. To illustrate the usefulness of the sufficient
condition, the authors propose the stochastic continuous feedback law, which
makes the origin of the Brockett integrator become globally asymptotically
stable in probability.Comment: A preliminary version of this paper appeared in the Proceedings of
the 48th Annual IEEE Conference on Decision and Control [14
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