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This paper is concerned with time decay rates of the weak solutions to the 3D Navier-Stokes equations with nonlinear damping |u|p-1 u in R3+. With the aid of the spectral decomposition of the Stokes operator and Lp — Lq estimates, it shows that the weak solution decay in L2 norm like ct−3/2r + 3/4 with the initial velocity u0 ∊ L2σ ∩ Lr for 1 < r ≤ 2. And if also satisfy ∫ R 3 + |x3 u0(x)|r, and...
A system for automatically recognizing three classes of different cardiac arrhythmias based on electrocardiogram (ECG) was proposed in this paper. The Hidden Markov model (HMM) was applied to the recognition of heartbeats from electrocardiogram (ECG). Some ECG features developed in existing papers are adopted here. The four heartbeat cases including the normal (NORM), bundle branch block (BBB) which...
Traditional Direct Current Speed Control System is designed mainly by adopting engineering method and is widely used in practice. In this paper, a new approach is proposed for the design of this kind of control system based on the combination of classic design method and modern control theory, and it can avoid the problems occurred in engineering method, in which the closed-loop poles cannot be randomly...
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