An Approach to Robust Control of the Hopf Bifurcation
Autor: | Giacomo Innocenti, Roberto Genesio, Alberto Tesi |
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Jazyk: | angličtina |
Rok vydání: | 2011 |
Předmět: | |
Zdroj: | Journal of Applied Mathematics, Vol 2011 (2011) |
Druh dokumentu: | article |
ISSN: | 1110-757X 1687-0042 |
DOI: | 10.1155/2011/568048 |
Popis: | The paper illustrates a novel approach to modify the Hopf bifurcation nature via a nonlinear state feedback control, which leaves the equilibrium properties unchanged. This result is achieved by recurring to linear and nonlinear transformations, which lead the system to locally assume the ordinary differential equation representation. Third-order models are considered, since they can be seen as proper representatives of a larger class of systems. The explicit relationship between the control input and the Hopf bifurcation nature is obtained via a frequency approach, that does not need the computation of the center manifold. |
Databáze: | Directory of Open Access Journals |
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