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

Mikhail Krastanov; Marc Quincampoix

ESAIM: Control, Optimisation and Calculus of Variations (2001)

- 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 (2001): 499-516. <http://eudml.org/doc/90605>.

@article{Krastanov2001,

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; controllability},

language = {eng},

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/90605},

volume = {6},

year = {2001},

}

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

PY - 2001

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; controllability

UR - http://eudml.org/doc/90605

ER -

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