Diagonal Dominance and Harmless O -Diagonal Delays1
نویسنده
چکیده
Systems of linear diierential equations with constant coeecients, as well as Lotka{Volterra equations, with delays in the oo{diagonal terms are considered. Such systems are shown to be asymptotically stable for any choice of delays if and only if the matrix has a negative weakly dominant diagonal.
منابع مشابه
Diagonal Dominance and Harmless Off-diagonal Delays
Systems of linear differential equations with constant coefficients, as well as Lotka–Volterra equations, with delays in the off–diagonal terms are considered. Such systems are shown to be asymptotically stable for any choice of delays if and only if the matrix has a negative weakly dominant diagonal.
متن کاملEffective Mass Generation of Off-diagonal Gluons and Abelian Dominance in the Maximally Abelian Gauge in QCD
We study the properties of gluons in QCD in the maximally abelian (MA) gauge. In the MA gauge, the off-diagonal gluon behaves as the massive vector boson with the mass Moff ' 1.2 GeV, and therefore the off-diagonal gluon cannot carry the long-range interaction for r M−1 off ' 0.2 fm. The essence of the infrared abelian dominance in the MA gauge is physically explained with the generation of the...
متن کاملOff-diagonal Gluon Mass Generation and Infrared Abelian Dominance in the Maximally Abelian Gauge in Lattice QCD
We study effective mass generation of off-diagonal gluons and infrared abelian dominance in the maximally abelian (MA) gauge. Using the SU(2) lattice QCD, we investigate the propagator and the effective mass of the gluon field in the MA gauge with the U(1)3 Landau gauge fixing. The Monte Carlo simulation is performed on the 123 × 24 lattice with 2.2 ≤ β ≤ 2.4, and also on the 164 and 204 lattic...
متن کاملOPM: a parallel method to solve banded systems of equations
studied in this report. We can see, in general, that low accuracies will require less overlapping and, in those cases, the algorithm will run faster. As the diagonal dominance increases, the amount of overlapping will be lower and the timings for different accuracies within the same diagonal dominance will get closer and closer. In this report we presented the Overlapped Partitions Method, a me...
متن کاملQuantitative Non-diagonal Regulator Design for Uncertain Multivariable System with Hard Time-domain Constraints
In this paper a non-diagonal regulator, based on the QFT method, is synthesized for an uncertain MIMO plant whose output and control signals are subjected to hard time-domain constraints. This procedure includes the design of a non-diagonal pre-controller based on a new simple approach, followed by the sequential design of a diagonal QFT controller. We present a new formulation for the latter s...
متن کامل