Using first integrals to estimate limiting possibilities of optimal control systems

DOI10.1016/0021-8928(92)90060-LzbMath0790.49001OpenAlexW2153883985MaRDI QIDQ1315539

V. E. Berbyuk

Publication date: 22 March 1994

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(92)90060-l

zbMATH Keywords

first integrals of the free equations of motionmultidimensional nonlinear systemoptimal control of dynamical systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

A separation bound for non-Hamiltonian differential equations with proper first integrals

Cites Work

• On the construction of a bounded control in oscillatory systems
• The use of first integrals in problems of synthesizing optimal control systems
• Resonance rotation of celestial bodies and Cassini's laws
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