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A singular control is defined precisely as follows.
Conditions for admissibility and feasibility of singular control and the feeding policy during singular control interval are obtained analytically for arbitrary kinetics of these reactions.
The trajectory x associated with a singular control u is called singular trajectory.
Following [45], we give here below a precise definition of the order of a singular control.
These optimal control profiles reduce the singular control problems and the computational difficulties were not confronted.
This gives a necessary condition for a singular control to be optimal.
Similar(24)
For singular controls, higher order control variations are needed to obtain optimality conditions.
Deterministic optimization problems for singular controls were intensively used by [29, 30].
The usual method for to computing singular controls is to differentiate repeatedly the switching function until the control explicitly appears.
Techniques of geometric optimal control have then been recalled, such as higher-order optimality conditions and singular controls.
In this section we recall briefly the order of singular controls and the higher order optimality conditions.
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