76,884 research outputs found
A Vector Matroid-Theoretic Approach in the Study of Structural Controllability Over F(z)
In this paper, the structural controllability of the systems over F(z) is
studied using a new mathematical method-matroids. Firstly, a vector matroid is
defined over F(z). Secondly, the full rank conditions of [sI-A|B] are derived
in terms of the concept related to matroid theory, such as rank, base and
union. Then the sufficient condition for the linear system and composite system
over F(z) to be structurally controllable is obtained. Finally, this paper
gives several examples to demonstrate that the married-theoretic approach is
simpler than other existing approaches
The short-time behavior of kinetic spherical model with long-ranged interactions
The kinetic spherical model with long-ranged interactions and an arbitrary
initial order m_{0} quenched from a very high temperature to T < T_{c} is
solved. In the short-time regime, the bulk order increases with a power law in
both the critical and phase-ordering dynamics. To the latter dynamics, a power
law for the relative order m_{r} ~ -t^{-k} is found in the intermediate
time-regime. The short-time scaling relation of small m_{0} are generalized to
an arbitrary m_{0} and all the time larger than t_{mic}. The characteristic
functions for the scaling of m_{0} and for
T'=T/T_{c} are obtained. The crossover between scaling regimes is discussed in
detail.Comment: 22 pages, 3 figure
- …