ANALYSIS OF FEEDBACK INDUCED HOPF BIFURCATIONS VIA THE CARLEMAN APPROXIMATION

ANALYSIS OF FEEDBACK INDUCED HOPF BIFURCATIONS VIA THE CARLEMAN APPROXIMATION

Introduction of state feedback can cause steady state multiplicity and bifurcation to periodic solutions. Using the Carleman approximation, conditions for Hopf bifurcation induced by linear and nonlinear feedback are given. A limit cycle stability criterion which involves the fourth order Carleman m...

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Veröffentlicht in:Chemical engineering communications 1987-07, Vol.57 (1-6), p.1-13
Hauptverfasser: LYBERATOS, GERASIMOS, TSILIGIANNIS, CHRISTOS A.
Format: Artikel
Sprache:eng
Schlagworte:
Carleman linearization
Feedback
Hopf bifurcation
Induced bifurcation
Limit cycles Stability
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Zusammenfassung:Introduction of state feedback can cause steady state multiplicity and bifurcation to periodic solutions. Using the Carleman approximation, conditions for Hopf bifurcation induced by linear and nonlinear feedback are given. A limit cycle stability criterion which involves the fourth order Carleman matrix is used to display that nonlinear feedback control for model discrimination and identification can give rise to stable oscillations when simple proportional feedback causes unstable periodic behavior.
ISSN:0098-6445
1563-5201
DOI:10.1080/00986448708960471