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Local and global null controllability of time varying linear control systems

Published online by Cambridge University Press:  15 August 2002

F. Colonius  and
R. Johnson
F. Colonius
Affiliation:
[email protected]
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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 thehomogeneous 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, anirreducibility assumption implies that, for a dense set of paths, the system is globally null controllable.

Keywords

Linear control systems / null controllability / time varying systems / stationary ergodic processes.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 2 , 1997 , pp. 329 - 341
Copyright
© EDP Sciences, SMAI, 1997

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