Irina E. Zuber, "Stabilization of nonlinear systems by similarity transformations", International Journal of Stochastic Analysis, vol. 11, Article ID 630894, 8 pages, 1998. https://doi.org/10.1155/S1048953398000422
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 .
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