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Titlebook: New Trends in Nonlinear Dynamics and Control, and their Applications; Wei Kang,Carlos Borges,Mingqing Xiao Conference proceedings 2003 Spr

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Practical Stabilization of Systems with a Fold Control Bifurcation,ay occur in the qualitative structure of its solutions around an equilibrium point. Usually, this happens when some eigenvalues of the linearized system cross the imaginary axis as the parameter changes [7]. For control systems, a change of some control properties may occur around an equilibrium poi
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Control of Hopf Bifurcations for Infinite-Dimensional Nonlinear Systems,hich the linearization has a simple conjugate pair of eigenvalues on the imaginary axis. All other eigenvalues of the system lie strictly in the left half-plane. Using the integral averaging method, the normal form of nonlinear systems in polar coordinates is derived. Based on the normal form, sever
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Stabilization via Polynomial Lyapunov Function,c design procedure for stabilizing nonlinear systems of nonminimum phase, i.e., with unstable zero dynamics, was presented recently in [11]. The basic idea can be described as follows. We first propose some sufficient conditions to assure the approximate stability of a dynamic system. Using these co
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