Polynomial Zonotope

A polynomial zonotope is defined as

$$\mathcal{PZ} := \bigg\{ c + \sum_{i=1}^h \bigg( \prod_{k=1}^p \alpha_k^{E_{(k,i)}} \bigg) G_{(\cdot,i)} + \sum_{j=1}^q \beta_j G_{I(\cdot,j)} \, \bigg| \, \alpha_k, \beta_j \in [-1,1] \bigg\} . $$

Polynomial zonotopes are compact and can describe non-convex sets. More information in Section 2.2.1.5 in the CORA manual.

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