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DTSTAMP:20171024T035451Z
UID:c98f6b2e-0673-4001-bcdc-4b6841c0ef24
DTSTART:20170425T133000
DTEND:20170425T143000
DESCRIPTION:A control system is a dynamical system on which one can act tha
nks to what is called the control. For example\, in a car\, one can turn th
e steering wheel\, press the accelerator pedal etc. These are the control(s
). One of the main problems in control theory is the controllability proble
m. It is the following one. One starts from a given situation and there is
a given target. The controllability problem is to see if\, by using some su
itable controls depending on time\, one can move from the given situation t
o the prescribed target. We study this problem with a special emphasis on t
he case where the nonlinearities play a crucial role. We first recall some
classical results on this problem for finite dimensional control systems. W
e explain why the main tool used for this problem in finite dimension\, nam
ely the iterated Lie brackets\, is difficult to use for many important cont
rol systems modeled by partial differential equations. We present methods t
o avoid the use of iterated Lie brackets. We give applications of these met
hods to various physical control systems (Euler and Navier-Stokes equations
of incompressible fluids\, 1-D hyperbolic systems\, heat equations\, shall
ow water equations\, Korteweg-de Vries equations\, Schroedinger equations…)
.\n
LOCATION:ETH Zürich\, Zentrum CLV B 4
ORGANIZER:
SUMMARY:Some methods to use the nonlinearities in order to control a system
URL:http://www.eth-its.ethz.ch/activities/its-fellows--seminar.html
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