Sentence examples for set of trajectories from inspiring English sources

It is shown that the set of trajectories of the switching system is dense in the set of trajectories of the embedded system.

The closedness of the set of trajectories is proved in Section 5 (Proposition 5.1), and hence the compactness of the set of trajectories is obtained (Theorem 5.1).

This drawing shows a complete set of trajectories composed of 20 rotated strips for BLADE data.

Then, we divide and adjust the TSP ring into a set of trajectories.

Proposition 4.2 shows that the set of trajectories X of the system (3.1) is bounded.

The set of trajectories generated by all admissible control functions is studied.

Theorem 4.1 and Theorem 5.1 yield the compactness of the set of trajectories.

The next theorem specifies closedness of the set of trajectories X of the system (3.1).

The qualitative behavior of the team is appropriate and close to the single-step optimal set of trajectories.

Now let us prove that the set of trajectories X of the system (3.1) is a family of equicontinuous functions.

Thus from Proposition 4.2, Proposition 4.4, and the Arzela-Ascoli theorem we obtain the precompactness of the set of trajectories.