Geometric Control Theory and its Applications
Research Group :
A. Agrachev
A. Bressan
A. Marigo
O. Myasnichenko
Yu. Sachkov
M. Sigalotti
External collaborators :
F. Ancona (Bologna)
A. Bicchi (Pisa)
B. Bonnard (Dijon)
U. Boscain (Dijon)
Y. Chitour (Paris Orsay)
M. Chyba (Priston Univ.)
G. Crasta (Modena)
R. Gamkrelidze (Moscow Steklov Inst.)
J.P. Gauthier (Dijon)
S. Jacquet (Chambery)
M. Pelletier (Dijon)
B. Piccoli (Salerno)
A. Sarychev (Aveiro)
G. Stefani (Florence)
H.J. Sussmann (Rutgers Univ.)
E. Trelat (Dijon)
I. Zelenko (Haifa)
P.L. Zezza (Florence)
Research activity
The research topics are:
Controllability of nonlinear
systems, in particular, global controllability of right-invariant systems on Lie
groups and high-order conditions for local controllability.
Approximation with nilpotent systems,
series expansions of the input-output map.
Feedback stabilization by
discontinuous feedback with controlled singularities.
Invariants
and normal forms of nonlinear systems
with respect to state and feedback transformations.
Necessary and sufficient conditions for
optimality, regularity properties of optimal trajectories and minimum time function.
Bang-bang property.
Optimal synthesis, its singularities and
structural stability. Generic classifications in low dimensions.
Symplectic and topological invariants of
optimal control problems and Hamiltonian systems.
Sub-Riemannian geometry and geometry
of distributions.
Engineering applications of control
theory; control of mechanical systems; motion planning.
Impulsive systems.
Discrete-time, hybrid, and switching
systems.
Seminar
The weekly seminar on Geometric Control Theory and its Applications takes place
on Wednesdays, at 14.30
in room L.
All interested are welcome to participate.
Our publications
Our links
Summer School on Mathematical Control Theory, ICTP, Trieste,
3 - 28 September 2001
Workshop on
"Mathematical Control Theory and Robotics", SISSA, 25 - 27 June 2000
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