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The geometry of maximum principle

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Publication:641934
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DOI10.1134/S0081543811040018zbMath1227.49026OpenAlexW2070026991MaRDI QIDQ641934

R. V. Gamkrelidze, Andrei A. Agrachev

Publication date: 25 October 2011

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

Full work available at URL: https://doi.org/10.1134/s0081543811040018


zbMATH Keywords

optimal controldifferential-geometric methodinvariant formulation of maximum principlesecond-order invariants


Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Optimality conditions for problems involving ordinary differential equations (49K15)


Related Items (4)

Optimal Resource Consumption Control with Interval Restrictions ⋮ Necessary and sufficient conditions of optimality for a damped hyperbolic equation in one-space dimension ⋮ Sharp inequalities between the best root-mean-square approximations of analytic functions in the disk and some smoothness characteristics in the Bergman space ⋮ Optimal control of linear systems with interval constraints




Cites Work

  • The Pontryagin derivative in optimal control
  • The Pontryagin Maximum Principle 50 years later




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