Multilevel control and optimization using generalized gradients technique

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Abstract
A unified approach to multilevel control and optimization of interactive dynamic systems based on the generalized gradients technique is fully analysed. Through this approach the variables involved are divided into two basic distinct sets : a dependent set which is handled on the first level and an independent set which is manipulated on the second level of the proposed structure. Depending on the choice of both sets of variables several two-level structures could result. An appropriate candidate is thus selected in which the co-state variables are updated successfully at the coordination level. The developed structure possesses the principal advantages of solution feasibility, avoiding singular arcs and bypassing the difficulties of two-point boundary value problems.

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