Stabilization of nonlinear systems with semi-quadratic cost
S. Nikitin
TL;DR
This paper introduces a novel feedback synthesis method for stabilizing nonlinear systems with semi-quadratic costs, leveraging concepts from nonlinear optics and semi-classical asymptotics.
Contribution
It presents an innovative feedback design approach specifically tailored for nonlinear systems with semi-quadratic cost functions, combining ideas from optics and asymptotic theory.
Findings
Effective new feedback synthesis procedure developed
Applicable to stabilization of nonlinear systems with semi-quadratic costs
Bridges control theory with nonlinear optics and asymptotics
Abstract
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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Taxonomy
TopicsNumerical methods for differential equations · Stability and Controllability of Differential Equations · Nonlinear Waves and Solitons