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An optimal control problem on the Lie group \(SE(2,\mathbb{R})\times SO(2)\)

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Publication:536485
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zbMath1214.49004MaRDI QIDQ536485

Mircea Puta, Anania Aron, Camelia Pop Arieşanu

Publication date: 18 May 2011

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)


zbMATH Keywords

optimal controlnonlinear stabilityKahan algorithmLie-Trotter algorithm


Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Control problems involving ordinary differential equations (34H05)


Related Items (3)

A drift-free left invariant control system on the Lie group \(\mathrm{SO}(3) \times \mathbb R^3 \times \mathbb R^3\) ⋮ An underactuated drift-free left invariant control system on a specific Lie group ⋮ Quadratic Hamilton-Poisson systems on \(\mathfrak{se}(1,1)^{*}_{-}\): the inhomogeneous case







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