On an optimal flow in a class of nilpotent convex problems

DOI10.1134/S0081543815080131zbMath1338.49043OpenAlexW2276052052MaRDI QIDQ267922

L. V. Lokutsievskiy

Publication date: 12 April 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543815080131

zbMATH Keywords

Cantor-Bendixson theoremdiscontinuity pointsmultidimensional controlnilpotent convex problemsoptimal flow

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

Optimal synthesis in a model problem with two-dimensional control lying in an arbitrary convex set

Cites Work

• Generic fractal structure of finite parts of trajectories of piecewise smooth Hamiltonian systems
• Geometry of neighborhoods of singular trajectories in problems with multidimensional control
• Theory of chattering control with applications to astronautics, robotics, economics, and engineering
• Control theory from the geometric viewpoint.
• Singular regimes in controlled systems with multidimensional control in a polyhedron
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