Example of a System Whose Minimal Trajectory Attractor Does not Contain Solutions of the System

2018 ◽  
Vol 104 (5-6) ◽  
pp. 922-926
Author(s):  
V. G. Zvyagin ◽  
N. N. Avdeev
Keyword(s):  
Trajectory Attractor

Strong trajectory attractor for a dissipative reaction-diffusion system

2010 ◽  
Vol 82 (3) ◽  
pp. 869-873 ◽  
Author(s):  
M. I. Vishik ◽  
S. V. Zelik ◽  
V. V. Chepyzhov
Keyword(s):  
Reaction Diffusion ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Trajectory Attractor

Stabilization of the Ship Motion by Restricted Control

2020 ◽  
Vol 28 (4) ◽  
pp. 106-123
Author(s):  
G.M. Dovgobrod ◽  
Keyword(s):  
Feedback Linearization ◽  
Control Algorithm ◽  
Linearization Method ◽  
Ship Motion ◽  
Control Law ◽  
Motion Model ◽  
Lateral Deviation ◽  
Bounded Curvature ◽  
Trajectory Attractor ◽  
Singularity Point

. The article presents an algorithm for controlling the motion of an insufficiently controlled ship along a trajectory with a continuous bounded curvature, based on the feedback linearization method. The algorithm allows restricting the control signal, while the state vector of the ship motion model does not approach the singularity point of the control law. The control algorithm returns the ship to the specified trajectory-attractor at any lateral deviation of the ship from the specified trajectory.

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