On minimum quadratic functional control of affine nonlinear systems.

DOI10.1016/J.NA.2003.11.009zbMath1039.49024OpenAlexW1989265365MaRDI QIDQ1428634

D. Massart

Publication date: 29 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.11.009

zbMATH Keywords

optimal controlenergy minimizationLie algebrabilinear systemnilpotent operatoraffine nonlinear system

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (2)

Stabilization of feedback control and stabilizability optimal solution for nonlinear quadratic problems ⋮ Optimal curves for an affine distribution

Cites Work

• Unnamed Item
• Optimal feedback control of nonlinear systems
• Local asymptotic approximation of non-linear control systems!
• On the optimal control of bilinear systems and its relation to Lie algebras
• Nilpotent Approximations of Control Systems and Distributions
• On Applications of a new method for computing optimal non-linear feedback controls
• On minimum-fuel control of affine nonlinear systems

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