Sentence examples for any trajectory of from inspiring English sources

This paper provides the algorithm how to exponentially track any trajectory of the Acrobot based on the knowledge of two position variables only.

Case 1. Taking the time derivative of along any trajectory of the closed-loop system (3.3) is given by (3.8).

Theorem 12 When τ 1 tends to infinity, any trajectory of the λMDP Process converges towards a Pareto optimal allocation.

A dynamical system is called positive if any trajectory of the system starting from non-negative initial states remains forever non-negative for non-negative controls.

If (mathit{RL}leq I_), then any trajectory of model (2.5) initiating from section (Sigma_{p_{max}}) will reach section (Sigma _{mathit{RL}}) and experience infinitely many impulses by the geometrical construction of the phase space of model (2.5).

The lower bound is obtained as follows: − λ + I E λ = − 1 + − I E λ > − 1. given that − I E λ > 0. Let now Θ 0 be a solution of (9) satisfying − π < Θ 0 < 0 and let us consider system (1) with initial conditions (8): it is clear that any trajectory of the system can roughly be divided into two separate chunks (see Fig. 3).

Rather than stabilizing any single trajectory of technological iterations, the course is more interested in considering the ¿work¿ performed by photography.

The conclusion is there cannot be any closed trajectory of that region because it leads to a contradiction via Green's theorem.

The TOA is reconstructed in each measurement point of any mobile trajectory of the BS.

Then, any solution trajectory of the SVEIRS impulsive-free vaccination model (1.1)–(1.5) generated for finite initial conditions converges asymptotically either to the disease-free equilibrium point or to the endemic equilibrium point as time tends to infinity.  .

"There was a trajectory of collaboration of many years".