A local existence result for an optimal control problem modeling the manoeuvring of an underwater vehicle

DOI10.1016/j.nonrwa.2009.09.002zbMath1205.49003OpenAlexW2048079573MaRDI QIDQ984541

Francisco Periago, Jorge Tiago

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.09.002

zbMATH Keywords

Young measuresrelaxationoptimal control problemexistence theorysubmarinemanoeuvrability control

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Numerical methods of relaxation type (49M20) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (3)

Flocking of multiple three-dimensional nonholonomic agents with proximity graph ⋮ Analysis and numerical simulation of a nonlinear mathematical model for testing the manoeuvrability capabilities of a submarine ⋮ A numerical method for computing optimal controls in feedback and digital forms and its application to the blowing-venting control system of manned submarines

Cites Work

• Existence theorems for general control problems of Bolza and Lagrange
• Parametrized measures and variational principles
• New existence result for autonomous one-dimensional optimal control problems
• On the generality of variational principles
• Existence Results for Optimal Control Problems with Some Special Nonlinear Dependence on State and Control
• A refinement on existence results in nonconvex optimal control
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