Geodesic
State elimination for nonlinear neutral state-space systems
Kybernetika, Tome 50 (2014) no. 4, pp. 473-490.

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The problem of finding an input-output representation of a nonlinear state space system, usually referred to as the state elimination, plays an important role in certain control problems. Though, it has been shown that such a representation, at least locally, always exists for both the systems with and without delays, it might be a neutral input-output differential equation in the former case, even when one starts with a retarded system. In this paper the state elimination is therefore extended further to nonlinear neutral state-space systems, and it is shown that also in such a case an input-output representation, at least locally, always exists. In general, it represents a neutral system again. Computational aspects related to the state elimination problem are discussed as well.
DOI : 10.14736/kyb-2014-4-0473
Classification : 34K35, 34K40, 93B25, 93C10
Keywords: nonlinear time-delay systems; neutral systems; input-output representation; linear algebraic methods; Gröbner bases 
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     title = {State elimination for nonlinear neutral state-space systems},
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Halás, Miroslav; Bisták, Pavol. State elimination for nonlinear neutral state-space systems. Kybernetika, Tome 50 (2014) no. 4, pp. 473-490. doi : 10.14736/kyb-2014-4-0473. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2014-4-0473/

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