Asymptotic behavior of smoothing in a linear time-optimal problem (Q760901)

Using the example of a simple linear time-optimal problem, the authors examine the asymptotic behavior of the solution of the problem (in particular, the optimal time) with respect to a small parameter characterizing the degree of proximity of the initial and smoothed control regions for some specific method of smoothing. The asymptotic form with respect to the small parameter for the optimal time is obtained.