On Singular Extremals in the Time Minimal Control Problem in $\mathbb{R}^3 $

DOI10.1137/0323048zbMath0602.49027OpenAlexW2088330091MaRDI QIDQ3738146

Bernard Bonnard

Publication date: 1985

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0323048

zbMATH Keywords

feedbackEuler equationpolynomial systemssingular controlstime minimal controlrigid body control

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Control of mechanical systems (70Q05) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Controllability, observability, and system structure (93B99)

Related Items (8)

Singular optimal control problems: On the order of a singular arc ⋮ Geometrical and topological methods in optimal control theory ⋮ On the time-optimality of bang-bang trajectories in 𝐑³ ⋮ Feedback classification of nonlinear control systems on 3-manifolds ⋮ Multi-input optimal control problems for combined tumor anti-angiogenic and radiotherapy treatments ⋮ Generic properties of singular trajectories ⋮ Higher-order local approximations of smooth control systems and pointwise higher-order optimality conditions ⋮ Sufficient conditions for local controllability and high-order necessary conditions for optimality. A differential-geometric approach.

This page was built for publication: On Singular Extremals in the Time Minimal Control Problem in $\mathbb{R}^3 $