Geometric approach to non-linear optimal control problems

DOI10.1080/00207179008934142zbMath0701.49005OpenAlexW2044694451MaRDI QIDQ3479091

Jing-Sin Liu, King Yuan

Publication date: 1990

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179008934142

zbMATH Keywords

hamiltonian systemsaffine nonlinear systems evolving on manifoldsMinimum energy control

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Hamilton-Jacobi theories (49L99)

Cites Work

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• On the optimal control of bilinear systems and its relation to Lie algebras
• Explicitly solvable non-linear optimal control problems
• A note on commutative bilinear optimal control
• On minimum energy control of commutative bilinear systems
• On minimum-fuel control of affine nonlinear systems
• Symmetries in Optimal Control

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