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Transactions of the Institute of Systems, Control and Information Engineers
Vol. 27 (2014) No. 11 p. 423-433

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http://doi.org/10.5687/iscie.27.423

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In this paper, we deal with two problems of input-affine polynomial dynamical systems. One aims to obtain a state feedback controller such that a prescribed algebraic set is invariant for the resulting closed-loop system. The other aims to obtain a state feedback controller such that the resulting closed-loop system has a prescribed vector field on a given algebraic set. It is shown that the two problems can be represented by a particular inclusion of polynomials, and the inclusion can be solved. As a result, all the state feedback controllers required in the problems can be exactly represented by using free polynomial parameters.

Copyright © 2014 The Institute of Systems, Control and Information Engineers

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