Approximate solution of the target control problem with a nonlinearity depending on one state variable

DOI10.1134/S0012266119110107zbMath1440.93026OpenAlexW2995524984MaRDI QIDQ2300699

P. A. Tochilin, I. A. Chistyakov

Publication date: 28 February 2020

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266119110107

zbMATH Keywords

exact controllabilityHamilton-Jacobi equationlinearizationapproximate controllabilitynonlinear control systemsvalue functionfeedback solutionspiecewise continuous approximation

Mathematics Subject Classification ID

Controllability (93B05) Feedback control (93B52) Nonlinear systems in control theory (93C10) Automated systems (robots, etc.) in control theory (93C85) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (3)

Construction of discontinuous piecewise quadratic value functions in a target control problem ⋮ Application of piecewise quadratic value functions to the approximate solution of a nonlinear target control problem ⋮ Control problem for a piecewise linear system with uncertainties based on measurement results

Cites Work

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• Comparison principle for equations of the Hamilton-Jacobi type in control theory

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