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Invariants and stability of control systems with transcritical and saddle-node bifurcations

Proceedings of the 36th IEEE Conference on Decision and Control, 2002
State feedback control of bifurcations with quadratic or cubic degeneracy is addressed. Based on normal forms and invariants of nonlinear control systems, the classification of bifurcations for systems with a single uncontrollable mode is obtained. Using invariants, characterizations of stability are derived for a family of bifurcations, including ...
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