Typical profit singularities of one-parametric cyclic process with fixed period

Typical profit singularities of one-parametric cyclic process with fixed period

Authors:   Davydov AA, Kukshina EO

Publication Year:   2008

Reference:  Optimization, 2(2)1-10 [2008]

Abstract

On the circle for smooth one-parametric families of pairs of profit densities and control systems with positive velocities only, we classify generic singularities of the profit along a cyclic motion with prescribed period. The classification includes six singularities and is different from the respective one for the general case when the period of the motion is not fixed.
KEYWORDS: parametric cyclic process; control system; optimization; generic singularities

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