Analysis of Properties of the Solutions to Parametric Time-Optimal Problems |
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| Authors: | Olga Kostyukova Ekaterina Kostina |
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| Institution: | (1) National Academy of Sciences of Belarus, Institute of Mathematics, Surganov str. 11, 220070 Minsk, Belarus;(2) Interdisciplinary Center for Scientific Computing (IWR), University of Heidelberg, Im Neuenheimer Feld 368, D-69120 Heidelberg, Germany |
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| 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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| Keywords: | parametric time-optimal problems dependence on a parameter regular and irregular (bifurcation) points |
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