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2011 An Approach to Robust Control of the Hopf Bifurcation
Giacomo Innocenti, Roberto Genesio, Alberto Tesi
J. Appl. Math. 2011: 1-21 (2011). DOI: 10.1155/2011/568048


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.


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Giacomo Innocenti. Roberto Genesio. Alberto Tesi. "An Approach to Robust Control of the Hopf Bifurcation." J. Appl. Math. 2011 1 - 21, 2011.


Published: 2011
First available in Project Euclid: 12 August 2011

zbMATH: 1204.37091
MathSciNet: MR2764214
Digital Object Identifier: 10.1155/2011/568048

Rights: Copyright © 2011 Hindawi


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