Читать книгу Multi-parametric Optimization and Control - Efstratios N. Pistikopoulos - Страница 46

Consider the set . Then, the hybrid projection of onto is defined as

(1.34)

By inspection it is clear that (i) is obtained by performing at most projections, one for each combination of the binary variables and consequently (ii) is generally a union of at most possibly overlapping polytopes.

A hybrid projection can thereby be performed by solving a multi‐parametric mixed‐integer programming problem purely based on feasibility requirements.