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Lyapunov's convexity theorem, zonoids, and bang-bang

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Publication:467646
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DOI10.1134/S1990478911020025zbMath1302.28026MaRDI QIDQ467646

Semen S. Kutateladze

Publication date: 4 November 2014

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)


zbMATH Keywords

Lyapunov convexity theorem


Mathematics Subject Classification ID

Group- or semigroup-valued set functions, measures and integrals (28B10)


Related Items (1)

Anti-compacts and their applications to analogs of Lyapunov and Lebesgue theorems in Fréchet spaces



Cites Work

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  • Extremal solutions of a control system
  • Minimax, Liapunov and 'bang-bang'
  • Functional analysis and time optimal control
  • The existence of optimal controls in the absence of convexity conditions
  • A Generalization of Lyapounov's Convexity Theorem to Measures with Atoms
  • Yet Another Proof of the Lyapunov Convexity Theorem
  • History of Banach Spaces and Linear Operators
  • An Elementary Proof of Lyapunov's Theorem
  • A Generalization of LaSalle’s “Bang-Bang” Principle
  • A Class of Convex Bodies
  • On the Set of Values of a Nonatomic, Finitely Additive, Finite Measure


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