These allow to design robust control laws without chattering, of pseudo-PID type, in order to track sufficiently regular trajectories with a preassigned maximum error.
In this paper, some theorems are stated, which allow to design robust control laws without chattering, of type PD or PI, for uncertain nonlinear MIMO systems having a quite general structure, to track sufficiently regular trajectories with preassigned maximum error.
We interpret these findings as a first indication that the proposed model can generate valid forecasts for developed countries experiencing (ir)regular mortality trajectories; a thorough validation will be part/object of follow-up analyses possibly including mortality forecasts for more countries using different base periods, forecast horizons, core models, and RCs.
In this way we can easily recognize genuine paradigmatic changes compared to more regular changes in trajectory.
V : S m − 1 → S m − 1 is called regular if the trajectory of any x ∈ S m − 1 converges to a unique fixed point.
With the ProFlight app, I found myself making regular corrections to my flight trajectory.
It is shown in [11, 54] that under some appropriate assumptions, the change in the structure of the trajectory is regular, i.e., when a constraint becomes active along the continuation, only one boundary arc appears.
During the spiking phase of each regular burst, the solution trajectory is still largely determined by the slow variables (ca_{i}) and (na_{i}), but these variables are perturbed by the voltage spike and the (mathrm{Ca}^{2+} -influx associated with each action potential.
Mathematicians noticed that many of the maps that they studied fell into one of two categories: "regular", meaning that the trajectories eventually become stable, or "stochastic", meaning that the trajectories exhibit chaotic behavior that can be modeled stochastically.
Since the motion of insects is highly stochastic in nature, it is convenient to chop their trajectories into regular segments and analyze those segments differentially.
