We study in a dynamical systems context the feedback stabilization problem for linear non-autonomous control processes with bounded measurable coefficients. We are led via standard methods to study the linear regulator problem, which we do by considering the spectral theory of linear Hamiltonian systems. This in turn is carried out via new methods involving the concepts of exponential dichotomy and rotation number. The feddback control matrix preserves recurrence properties and smoothness properties of the original coefficient matrices. If the coefficient matrices have a chaotic time dependence, then the feedback matrix will be “no more chaotic” than the coefficient matrices.
Feedback control for linear chaotic systems / R. Johnson; M. Nerurkar. - STAMPA. - (1992), pp. 272-273. (Intervento presentato al convegno Workshop on System Structure and Control/International Federation of Automatic Control tenutosi a Praga Rep. Ceca nel settembre 1992) [10.1016/B978-0-08-042057-8.50070-7].
Feedback control for linear chaotic systems
JOHNSON, RUSSELL ALLAN;
1992
Abstract
We study in a dynamical systems context the feedback stabilization problem for linear non-autonomous control processes with bounded measurable coefficients. We are led via standard methods to study the linear regulator problem, which we do by considering the spectral theory of linear Hamiltonian systems. This in turn is carried out via new methods involving the concepts of exponential dichotomy and rotation number. The feddback control matrix preserves recurrence properties and smoothness properties of the original coefficient matrices. If the coefficient matrices have a chaotic time dependence, then the feedback matrix will be “no more chaotic” than the coefficient matrices.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
