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The settling resulting from PID + NIASA control is nearly exponential, and governed by a time constant that is specified in the control design.
The turbine model is characterized by a time constant T T. It represents the mechanical power output following the governor action.
In the Figure, we notice that the MSE presents several phases (each phase is controlled by a time constant) which end by a plateau phase where the MSE decreases very slowly.
It is actually the sum of the force generated by seven separate processes, each characterized by a time constant τi.
Just like for the QLV model, it is the sum of the force generated by seven separate processes, each characterized by a time constant τi.
Simulations: The only simulated data appears in Figures 3 (D, E) and 5. To generate simulated bout lengths, we used MatLab (MathWorks, Natick, MA, USA): the "exprnd" function is a random number generator following a single exponential distribution specified by a time constant of decay; the "randsample" function was used to draw from the generated distributions.
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After reconstruction of a bipolar montage obtained by subtraction of the signal from adjacent electrode contacts, we removed any DC offset by filtering with a time constant of 1 s.
The results show that chamber clearing can be characterized by an exponential decay with a time constant of 6.58 ms.
In this paper, we experiment a loop-shaping method to tune fractional order PI controllers for servosystems reasonably described by a gain, an integrator, a time constant and a time delay.
In response to a single AP in 3 mM external [Ca2+], the latency distribution exhibits a rapid rise for about 200 μs, followed by an exponential decay with a time constant of 362 ± 10 μs (Fig. 1b; see fit to cumulative plot in lower panel; note that this latency histogram includes all latencies and not only the first latency in each trial).
The method consists in dividing the ith track segment in ni = round(Ti/τ) intervals, where τ is a time constant, by interpolating ni 1 equidistant locations along it.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com