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We consider solutions to the closed loop realizations of control systems with affine structure that admit infinitely many discrete transitions on a finite time interval.
The scheduling signals, although bounded and square integrable on a finite time interval, are not constrained to be linear, but rather are permitted to be a nonlinear function of external parameters or time.
We prove that the geodesic spray is continuously differentiable fromTDsμ(M) intoTTDsμ(M) so that a standard Picard iteration argument proves existence and uniqueness on a finite time interval.
For kernels ν which are positive and integrable we show that the operator g↦Jνg="∫0xν(x−s g(s ds on a finite time interval enjoys a regularizing effect when applied to Hölder continuous and Lebesgue functions and a "contractive" effect when applied to Sobolev functions.
In this situation the impulsive action starts at any arbitrary fixed point and stays active on a finite time interval.
This is a situation with an impulsive action which starts abruptly and stays active on a finite time interval.
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But on a smaller scale, for a finite time, they also create them.
The urgency signal captures the intuition that a premium exists on reaching decisions within a finite time, even on low coherence trials when evidence may accumulate very slowly [23].
It is defined as the amount of hysteretic energy demand imposed on a structure over a finite time interval between two zero-crossing of bow system velocity.
Its operation is as follows: a user draws a picture on an input window of the GUI, and then the host computer commands client printer-robots to reproduce the same on a paper in a finite time.
Most studies usually try to infer general trends characterizing the network of acquaintances of a population, based on observation during only a finite time window.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com