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.

Local and global null controllability of time varying linear control systems / R. Johnson; F. Colonius. - In: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS. - ISSN 1262-3377. - STAMPA. - 2:(1997), pp. 329-341. [10.1051/cocv:1997111]

Local and global null controllability of time varying linear control systems

JOHNSON, RUSSELL ALLAN;
1997

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.
1997
2
329
341
R. Johnson; F. Colonius
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/396122
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