Stabilization of nonlinear systems by similarity transformations
For a system , , , where the pair is given, we obtain the feedback vector to stabilize the corresponding closed loop system. For an arbitrarily chosen constant vector , a sufficient condition of the existence and an explicit form of a similarity transformation is established. The latter transforms matrix into the Frobenius matrix, vector into , and an unknown feedback vector into the first unit vector. The boundaries of are determined by the boundaries of , . The stabilization of the transformed system is subject to the choice of the constant vector .
Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.