# Local small time controllability and attainability of a set for nonlinear control system

Mikhail Krastanov; Marc Quincampoix

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 6, page 499-516
- ISSN: 1292-8119

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topKrastanov, Mikhail, and Quincampoix, Marc. "Local small time controllability and attainability of a set for nonlinear control system." ESAIM: Control, Optimisation and Calculus of Variations 6 (2010): 499-516. <http://eudml.org/doc/197313>.

@article{Krastanov2010,

abstract = {
In the present paper, we study the problem of small-time
local attainability (STLA) of a closed set.
For doing this, we introduce a new concept of variations of the
reachable set well adapted to a given closed set and prove a new
attainability result
for a general dynamical system. This provide our main result for nonlinear
control systems. Some applications to linear and polynomial systems are
discussed and STLA necessary and sufficient conditions are obtained
when the considered set is a hyperplane.
},

author = {Krastanov, Mikhail, Quincampoix, Marc},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Attainability; controlability; local variations; polynomial control; linear controls.; attainability; controllability; linear controls},

language = {eng},

month = {3},

pages = {499-516},

publisher = {EDP Sciences},

title = {Local small time controllability and attainability of a set for nonlinear control system},

url = {http://eudml.org/doc/197313},

volume = {6},

year = {2010},

}

TY - JOUR

AU - Krastanov, Mikhail

AU - Quincampoix, Marc

TI - Local small time controllability and attainability of a set for nonlinear control system

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 6

SP - 499

EP - 516

AB -
In the present paper, we study the problem of small-time
local attainability (STLA) of a closed set.
For doing this, we introduce a new concept of variations of the
reachable set well adapted to a given closed set and prove a new
attainability result
for a general dynamical system. This provide our main result for nonlinear
control systems. Some applications to linear and polynomial systems are
discussed and STLA necessary and sufficient conditions are obtained
when the considered set is a hyperplane.

LA - eng

KW - Attainability; controlability; local variations; polynomial control; linear controls.; attainability; controllability; linear controls

UR - http://eudml.org/doc/197313

ER -

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