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Remark 1.3

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A constraint is called weakly redundant if it is redundant but not strongly redundant, i.e. Eq. (1.27) but not Eq. (1.28) holds. A schematic representation of weakly and strongly redundant constraints is shown in Figure 1.3.

If a polytope does not feature any redundant constraints, it is said to be in minimal representation.


Figure 1.3 A schematic representation of (a) strongly and (b) weakly redundant constraints.

Consider an ‐dimensional compact polytope , where and . The following strategies aim at identifying the minimal representation of :

Multi-parametric Optimization and Control

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