대한수학회지 (Journal of the Korean Mathematical Society)

  • 제34권3호
  • /
  • Pages.553-567
  • /
  • 1997
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

TIME-OPTIMAL BANG-BANG TRAJECTORIES USING BIFURCATION RESULT

  • 발행 : 1997.08.01
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초록

This paper is concerned with the control problem $$ \dot{x}(t) = F(x) + u(t)G(x), t \in [0,T], x(0) = 0, $$ where F and G are smooth vector fields on $R^n$, and the admissible controls u satisfy the constraint $$\mid$u(t)$\mid$ \leq 1$. We provide the sufficient condition that the bang-bang trajectories having different switching orders intersect.

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참고문헌

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