Abstract
We consider a linear time-optimal problem in which initial state values depend on a parameter and study the problem of the solution structure identification for small parameter perturbations. Properties of the time-optimal function and a point-set mapping, defined by optimal Lagrange vectors, are studied as well as the dependence of the solution on the parameter. Special attention is paid to the solution properties in irregular points.
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Kostyukova, O., Kostina, E. Analysis of Properties of the Solutions to Parametric Time-Optimal Problems. Computational Optimization and Applications 26, 285–326 (2003). https://doi.org/10.1023/A:1026099606815
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DOI: https://doi.org/10.1023/A:1026099606815