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Large Deviation of Solutions at the Beginning of Stabilization
by
Francisco Miranda
ESTG - Instituto Politécnico de Viana do Castelo
A controllable linear control system is considered. By the Pole assignment theorem, there exists a linear feedback yielding a linear differential equation with any given set of eigenvalues. It is show that there is a large deviation of the solutions from the equilibrium position at the beginning of the stabilization process, whenever the module of the eigenvalues is very small or very big. This effect is of interest for guidance stabilization of nonlinear systems.
Date received: January 28, 2004
Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cakt-37.