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Semiconcavity of the bilateral minimal time function: the linear case

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Publication:1024532
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DOI10.1016/J.SYSCONLE.2008.04.001zbMath1162.49021OpenAlexW1994432514MaRDI QIDQ1024532

Ronald J. Stern, Chadi Nour

Publication date: 17 June 2009

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2008.04.001


zbMATH Keywords

smoothnesslinear control systemsemiconcavitybilateral minimal time function


Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) Linear systems in control theory (93C05) Linear optimal control problems (49N05)


Related Items (3)

Unnamed Item ⋮ Variational Analysis for the Bilateral Minimal Time Function ⋮ Interior sphere condition for the graph of a multifunction




Cites Work

  • Semiconcave functions, Hamilton-Jacobi equations, and optimal control
  • The state constrained bilateral minimal time function
  • Semiconcavity of the value function for exit time problems with nonsmooth target
  • Convexity properties of the minimum time function
  • Functional analysis and time optimal control
  • Interior sphere property of attainable sets and time optimal control problems
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