论文标题
基于平方的基因程序，以近似于半格式集合的泛素蛋白差异
A Sum-of-Squares-Based Procedure to Approximate the Pontryagin Difference of Semialgebraic Sets
论文作者
论文摘要
两组$ \ MATHCAL {a} $和$ \ MATHCAL {B} $之间的p分解是所有点的集合，$ \ Mathcal {C} $，因此将$ \ Mathcal {b} $添加到$ \ Mathcal {c} $中的任何点中都添加到$ \ Mathcal {C}中的任何点。这种集合差异在鲁棒模型预测控制和设定理论控制中起着重要作用。在本文中，我们证明可以使用平方编程的总和来计算两个半格式集合之间的p差异的内部近似，我们使用几个计算示例说明了该过程。
The P-difference between two sets $\mathcal{A}$ and $\mathcal{B}$ is the set of all points, $\mathcal{C}$, such that the addition of $\mathcal{B}$ to any of the points in $\mathcal{C}$ is contained in $\mathcal{A}$. Such a set difference plays an important role in robust model predictive control and in set-theoretic control. In the paper we demonstrate that an inner approximation of the P-difference between two semialgebraic sets can be computed using the Sums of Squares Programming, and we illustrate the procedure using several computational examples.
