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The corresponding optimal trajectory is called a chattering trajectory.
In the proposed algorithm, mobile sink moves along a fixed line, whereas the area near the linear trajectory is called the convergence area.
Conversely, the closed trajectory is called a subharmonic orbit if k is the inverse of an integer, i.e., if m = 1 in the formula k = m/n.
A closed trajectory is called a harmonic orbit if k is an integer, i.e., if n = 1 in the formula k = m/n.
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Such a classification of all the optimal trajectories is called an optimal synthesis [14].
The trajectories in this multi-dimensional phase space represent the system dynamics, and the ensemble of these trajectories is called an attractor, as depicted in Fig. 2.
The corresponding MD-trajectory was called "randM1" (Figure 2).
A MRAC problem formulation in addition to the traditional asymptotic zero error tracking specification makes the problem statement contain an additional explicit requirement, namely the tracking objective is described by a set of admissible reference trajectories which is called a performance tube.
This trajectory formation system is called PHMM (for Phased-HMM) in the following.
An individual simulation, which tracks the state of the system at each time-step, is called trajectory.
The trajectory x associated with a singular control u is called singular trajectory.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com