Stabilization of nonlinear systems with semi-quadratic cost

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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 developed in quantum mechanics.

Original languageEnglish (US)
Pages (from-to)373-383
Number of pages11
JournalActa Applicandae Mathematicae
Volume105
Issue number3
DOIs
StatePublished - Mar 2009

Keywords

  • Lagrange manifold
  • Maslov canonical operator
  • Nonlinear system
  • Semi-classical asymptotic
  • Stabilization

ASJC Scopus subject areas

  • Applied Mathematics

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