Stabilization of nonlinear systems with semi-quadratic cost

Mathematics – Optimization and Control

Scientific paper

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Scientific paper

The paper addresses the stabilization of nonlinear systems with
semi-quadratic cost: quadratic with respect to controls and nonlinear for state
variables. Paper presents the effective new feedback synthesis procedure. The
novel feedback design procedure is based on the ideas borrowed from nonlinear
optics and the theory of semi-classical asymptotics.

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