# Local and global null controllability of time varying linear control systems

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

- Volume: 2, page 329-341
- ISSN: 1292-8119

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topColonius, F., and Johnson, R.. "Local and global null controllability of time varying linear control systems." ESAIM: Control, Optimisation and Calculus of Variations 2 (2010): 329-341. <http://eudml.org/doc/197383>.

@article{Colonius2010,

abstract = {
For linear control systems with coefficients determined by a dynamical
system null controllability is discussed. If uniform local null
controllability holds, and if the Lyapounov exponents of the
homogeneous equation are all non-positive, then the system is
globally null controllable for almost all paths of the dynamical
system. Even if some Lyapounov exponents are positive, an
irreducibility assumption implies that, for a dense set of paths,
the system is globally null controllable.
},

author = {Colonius, F., Johnson, R.},

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

keywords = {Linear control systems / null controllability /
time varying systems / stationary ergodic processes.; time varying linear control systems; measurable selection theorem; null controllability; invariant ergodic measure; Lyapunov exponents},

language = {eng},

month = {3},

pages = {329-341},

publisher = {EDP Sciences},

title = {Local and global null controllability of time varying linear control systems},

url = {http://eudml.org/doc/197383},

volume = {2},

year = {2010},

}

TY - JOUR

AU - Colonius, F.

AU - Johnson, R.

TI - Local and global null controllability of time varying linear control systems

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 2

SP - 329

EP - 341

AB -
For linear control systems with coefficients determined by a dynamical
system null controllability is discussed. If uniform local null
controllability holds, and if the Lyapounov exponents of the
homogeneous equation are all non-positive, then the system is
globally null controllable for almost all paths of the dynamical
system. Even if some Lyapounov exponents are positive, an
irreducibility assumption implies that, for a dense set of paths,
the system is globally null controllable.

LA - eng

KW - Linear control systems / null controllability /
time varying systems / stationary ergodic processes.; time varying linear control systems; measurable selection theorem; null controllability; invariant ergodic measure; Lyapunov exponents

UR - http://eudml.org/doc/197383

ER -

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