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Linear Feedback Stabilization of Nonlinear Systems with an Uncontrollable Critical Mode
Linear feedback stabilization of nonlinear systems is studied for systems whose linearization at an equilibrium point possesses a simple critical mode that is uncontrollable. The results complement previous work on the ...
Application of Center Manifold Reduction to System Stabilization
The Center Manifold Theorem is applied to the local feedback stabilization of nonlinear systems in critical cases. The paper addresses two particular critical cases, for which the system linearization at the equilibrium ...
Active Stabilization of Rotating Stall: A Bifurcation-Theoretic Approach
Active control of the onset of stall instabilities in axial flow compressors is pursued using bifurcation analysis of a dynamical model proposed by Moore and Greitzer (1986). This model consists of three ordinary differential ...
Feedback Control of Bifurcation and Chaos in Dynamical Systems
Feedback control of bifurcation and chaos in nonlinear dynamical systems is discussed. The article summarizes some of the recent work in this area, including both theory and applications. Stabilization of period doubling ...