Читать книгу Multi-parametric Optimization and Control - Efstratios N. Pistikopoulos - Страница 19

Let and be convex sets defined in . Then

1 The intersection of is a convex set.

2 The summation of two convex sets is a convex set.

3 Let be a real number. The product is a convex set.

Examples of convex sets include lines, polytopes and polyhedra, and open and closed halfspaces.