A note on convexity in smooth nonlinear systems

DOI10.1007/BF02673837zbMath0971.49001MaRDI QIDQ1585394

S. A. Vakhrameev

Publication date: 7 November 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

convexitytime-optimal control problembilinear systemsexistence theorymatrix exponent

Mathematics Subject Classification ID

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

Cites Work

• Singularity theory and an introduction to catastrophe theory
• A bang-bang theorem with a finite number of switchings for nonlinear smooth control systems
• Morse lemmas for smooth functions on manifolds with corners
• Geometrical and topological methods in optimal control theory
• Morse theory and Lyusternik-Shnirelman theory in geometric control theory
• An existence theorem for a non-linear time-optimal problem in a class of bang-bang controls with finitely many switchings
• A theorem on the finiteness of the switching number for smooth non-linear controlled systems
• Transpiration and natural convection: the vertical-flat-plate problem
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