Nonlinear discrete-time control of systems with a Naimark-Sacker bifurcation

DOI10.1016/S0167-6911(01)00136-0zbMath0986.93058OpenAlexW1986224091MaRDI QIDQ5958598

Boumediene Hamzi, Salvatore Monaco, Jean-Pierre Barbot, Dorothee Normand-Cyrot

Publication date: 3 March 2002

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(01)00136-0

zbMATH Keywords

invariantsstabilizationnormal formscenter manifoldsNaimark-Sacker bifurcationquadratic controllers

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Canonical structure (93B10)

Related Items (11)

CHARACTERIZATION OF STATIC BIFURCATIONS FOR MAPS IN THE FREQUENCY DOMAIN ⋮ The infinite level normal forms for non-resonant double Hopf singularities ⋮ Map invariance and the state reconstruction problem for nonlinear discrete-time systems ⋮ Discrete-time normal form for left invertibility problem ⋮ LOCAL FEEDBACK CONTROL OF THE NEIMARK–SACKER BIFURCATION ⋮ Analytic normal forms and symmetries of strict feedforward control systems ⋮ Normal forms and approximated feedback linearization in discrete time ⋮ The controlled center dynamics of discrete time control bifurcations ⋮ A characterization of normal forms for control systems ⋮ Controlling Neimark-Sacker bifurcations in discrete-time multivariable systems ⋮ Bifurcation analysis of a two-DoF mechanical system subject to digital position control. I: Theoretical investigation

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