Morse Families In Optimal Control Problems

DOI10.1137/120903488zbMath1319.49028arXiv1211.4511OpenAlexW2059545516MaRDI QIDQ5252503

María Barbero-Liñán, David Iglesias-Ponte, David Martín de Diego

Publication date: 2 June 2015

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

Full work available at URL: https://arxiv.org/abs/1211.4511

zbMATH Keywords

Lagrangian submanifoldsoptimal control problemsintegrability algorithmMorse families

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Hamilton's equations (70H05) Lagrangian submanifolds; Maslov index (53D12) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

Morse families and Dirac systems

Cites Work

• Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
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• Fourier integral operators. I
• Symplectic manifolds and their Lagrangian submanifolds
• Hamiltonian dynamics and constrained variational calculus: continuous and discrete settings
• Integrability of implicit differential equations
• Variational calculus with constraints on general algebroids
• CONSTRAINT ALGORITHM FOR EXTREMALS IN OPTIMAL CONTROL PROBLEMS
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