Sergey Mikhailovich Khryashchev
Saint-Petersburg State Polytechnic University,
Doctor of Physics and Mathematics, professor,
29 Politechnicheskaya,
195251, Saint-Petersburg, Russia
Chaotic control systems and regular control systems differ essential.
For chaotic system, there exist everywhere dense trajectories and it makes
possible to use arbitrarily small control actions to reach a goal of control.
In the paper, some characteristics of state of chaos are considered and
classification of chaotic system is given.
Weakly chaotic systems are studied separately.
These systems appear by degeneration of strongly chaotic systems.
In the paper, asymptotic estimations are given for transport times
using arbitrarily small control actions.
The estimations are obtained by analysis of sequences of volumes of sets
of accessibility and they are expressed in the term of characteristics of
control system.