• Alexander J. Zaslavski
Part of the Springer Optimization and Its Applications book series (SOIA, volume 82)


Let \(-\infty < T_{1} < T_{2} < \infty \), \(A \subset [T_{1},T_{2}] \times {R}^{n}\) be a closed subset of the t x-space R n+1 and let A(t) denote its sections, that is
$$\displaystyle{A(t) =\{ x \in {R}^{n} : (t,x) \in A\},\quad t \in [T_{ 1},T_{2}].}$$
For every (t,x)∈A let U(t,x) be a given subset of the u-space R m , \(x = (x_{1},\ldots x_{n})\), \(u = (u_{1},\ldots u_{m})\).


Optimal Control Problem Variational Problem Relative Topology Strong Topology Convexity Assumption 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Alexander J. Zaslavski
    • 1
  1. 1.Department of MathematicsTechnion - Israel Institute of TechnologyHaifaIsrael

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