High-Order Control Variations and Small-Time Local Controllability

@article{Krastanov2010,
abstract = {The importance of “control variations” for obtaining local approximations of the reachable set of nonlinear control systems is well known. Heuristically, if one can construct control variations in all possible directions, then the considered control system is small-time locally controllable (STLC). Two concepts of control variations of higher order are introduced for the case of smooth control systems. The relation between these variations and the small-time local controllability is studied and a new sufficient STLC condition is proved.* This work is partly supported by the Bulgarian Ministry of Science and Higher Education – National Fund for Science Research under contract DO 02–359/2008.},
author = {Krastanov, Mikhail},
journal = {Serdica Journal of Computing},
keywords = {Local Approximations of the Reachable Set; Smooth Control Systems; Small-Time Local Controllability; local approximations of the reachable set; smooth control systems; small-time local controllability},
language = {eng},
number = {1},
pages = {85-92},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {High-Order Control Variations and Small-Time Local Controllability},
url = {http://eudml.org/doc/11377},
volume = {4},
year = {2010},
}

TY - JOUR
AU - Krastanov, Mikhail
TI - High-Order Control Variations and Small-Time Local Controllability
JO - Serdica Journal of Computing
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 4
IS - 1
SP - 85
EP - 92
AB - The importance of “control variations” for obtaining local approximations of the reachable set of nonlinear control systems is well known. Heuristically, if one can construct control variations in all possible directions, then the considered control system is small-time locally controllable (STLC). Two concepts of control variations of higher order are introduced for the case of smooth control systems. The relation between these variations and the small-time local controllability is studied and a new sufficient STLC condition is proved.* This work is partly supported by the Bulgarian Ministry of Science and Higher Education – National Fund for Science Research under contract DO 02–359/2008.
LA - eng
KW - Local Approximations of the Reachable Set; Smooth Control Systems; Small-Time Local Controllability; local approximations of the reachable set; smooth control systems; small-time local controllability
UR - http://eudml.org/doc/11377
ER -