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Presence of Several Local Optima

When solving an optimal control problem, it has to be kept in mind that several local optima may exist. Consider for example a problem with a single control function. The objective functional value may be locally optimal, i.e., optimal only in a vicinity of the obtained optimal control function. In another location within the space of all admissible control functions, the objective functional may again be locally optimal corresponding to some other optimal control function. This new optimal objective functional value may be better or worse than, or, even the same as the previous one. [Pg.73]

Satisfying the state equations and any other specified constraints. [Pg.73]


Optimality in Optimal Control Problems 3.3.1 Presence of Several Local Optima... [Pg.73]




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