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Wang et al. [16] proposed a novel algorithm by using a piecewise smooth approximation to image.
In Section 3 we develop a way to approximately simulate a wider class of distributions by using a piecewise linear approach: approximate the contour (mathcal {C}) by a simplicial tessellation and use (4) on each piece.
An approximate solution of the general steady-state response of the friction-driven oscillator with an attached impact damper is derived analytically by using a piecewise equivalent linearization approach assuming two non-symmetric impacts per cycle.
For stability, by using a piecewise Lyapunov function, we show that if the unavailability rate of the controller is smaller than a specified constant and the average time interval between controller failures (ATBCF) is large enough, then global exponential stability of the system is guaranteed.
For ℒ2 gain, also by using a piecewise Lyapunov function, we show that if the unavailability rate of the controller is smaller than a specified constant, then the system with an ATBCF achieves a reasonable weighted ℒ2 gain level, and the weighted ℒ2 gain approaches normal ℒ2 gain when the ATBCF is sufficiently large.
In case of periodic solution of period T, a discrete approximation on a mesh in [0, T] and its period are computed as solutions of the corresponding periodic boundary value problem by using a piecewise polynomial collocation.
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Additionally, a random search algorithm known as simulated annealing (SA), improved by an intelligent method using a piecewise linear and exponential cost function, is employed for optimization of the power and delay.
The performance of the phase synchrony estimation using the cross-MST are evaluated both by simulated EEG seizure using a piecewise LFM signal to extract the in and out-of-phase components, and through the analysis of seizure EEG abnormalities in the newborn, where the dynamics of brain changes rapidly and the neurones lose their synchrony during seizure.
Event times were generated using a piecewise exponential model with event rates differing by 5-year age group and using the above HRs.
Comparisons were made using a piecewise linear elastic analysis.
Thus, we described the relation between geographical distances and pairwise genetic distances using a piecewise linear model [93].
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