论文标题
顺序的平方符号编程，用于分析非线性系统
Sequential sum-of-squares programming for analysis of nonlinear systems
论文作者
论文摘要
非线性系统分析中的众多有趣属性可以写成非凸出方案问题的多项式优化问题。为了有效地解决这些问题，我们提出了局部线性化的顺序方法，导致可处理的，凸面总和问题。局部收敛是在强有规律性的假设下证明的，并且采用新方法来估计多项式飞机模型的吸引力区域。
Numerous interesting properties in nonlinear systems analysis can be written as polynomial optimization problems with nonconvex sum-of-squares problems. To solve those problems efficiently, we propose a sequential approach of local linearizations leading to tractable, convex sum-of-squares problems. Local convergence is proven under the assumption of strong regularity and the new approach is applied to estimate the region of attraction of a polynomial aircraft model.
