56,186 research outputs found
Cooperative Decentralized Multi-agent Control under Local LTL Tasks and Connectivity Constraints
We propose a framework for the decentralized control of a team of agents that
are assigned local tasks expressed as Linear Temporal Logic (LTL) formulas.
Each local LTL task specification captures both the requirements on the
respective agent's behavior and the requests for the other agents'
collaborations needed to accomplish the task. Furthermore, the agents are
subject to communication constraints. The presented solution follows the
automata-theoretic approach to LTL model checking, however, it avoids the
computationally demanding construction of synchronized product system between
the agents. We suggest a decentralized coordination among the agents through a
dynamic leader-follower scheme, to guarantee the low-level connectivity
maintenance at all times and a progress towards the satisfaction of the
leader's task. By a systematic leader switching, we ensure that each agent's
task will be accomplished.Comment: full version of CDC 2014 submissio
Quantitative homogenization in a balanced random environment
We consider discrete non-divergence form difference operators in an i.i.d.
random environment and the corresponding process--the random walk in a balanced
random environment in . We first quantify the ergodicity of the
environment viewed from the point of view of the particle. As a consequence, we
quantify the quenched central limit theorem of the random walk with an
algebraic rate. Furthermore, we prove algebraic rate of convergence for
homogenization of the Dirichlet problems for both elliptic and parabolic
non-divergence form difference operators.Comment: 36 pages, 1 figur
Comment on `Solution of the Dirac equation for the Woods-Saxon potential with spin and pseudospin symmetry' [J. Y. Guo and Z-Q. Sheng, Phys. Lett. A 338 (2005) 90]
Out of the four bound-state solutions presented in loc. cit., only one (viz.,
the spin-symmetric one, in the low-mass regime) is shown compatible with the
physical boundary conditions. We clarify the problem, correct the method and
offer another, "missing" (viz., pseudospin-symmetric) new solution with certain
counterintuitive "repulsion-generated" property.Comment: 6 p
On the Cauchy problem for the magnetic Zakharov system
In this paper, we study the Cauchy problem of the magnetic type Zakharov
system which describes the pondermotive force and magnetic field generation
effects resulting from the non-linear interaction between plasma-wave and
particles. By using the energy method to derive a priori bounds and an
approximation argument for the construction of solutions, we obtain local
existence and uniqueness results for the magnetic Zakharov system in the case
of
Exact characterization of O(n) tricriticality in two dimensions
We propose exact expressions for the conformal anomaly and for three critical
exponents of the tricritical O(n) loop model as a function of n in the range
. These findings are based on an analogy with known
relations between Potts and O(n) models, and on an exact solution of a
'tri-tricritical' Potts model described in the literature. We verify the exact
expressions for the tricritical O(n) model by means of a finite-size scaling
analysis based on numerical transfer-matrix calculations.Comment: submitted to Phys. Rev. Let
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