Local and global null controllability of time varying linear control systems

F. Colonius; R. Johnson

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

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

Abstract

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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.

How to cite

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Colonius, 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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