On the time-optimality of bang-bang trajectories in 𝐑³
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Publication:3748849
DOI10.1090/S0273-0979-1987-15479-6zbMath0608.49016MaRDI QIDQ3748849
Publication date: 1987
Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)
Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)
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An exact algorithm for kinodynamic planning in the plane ⋮ Control variations with an increasing number of switchings ⋮ Continuous alternation: the complexity of pursuit in continuous domains
Cites Work
- Existence of regular synthesis for general control problems
- The Generic Local Time-Optimal Stabilizing Controls in Dimension 3
- On Singular Extremals in the Time Minimal Control Problem in $\mathbb{R}^3 $
- The Structure of Time-Optimal Trajectories for Single-Input Systems in the Plane: The General Real Analytic Case
- Regular Synthesis for Time-Optimal Control of Single-Input Real Analytic Systems in the Plane
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