Stability Region Analysis Using Polynomial and Composite Polynomial Lyapunov Functions and Sum-of-Squares Programming

Weehong Tan; Packard A.

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Stability Region Analysis Using Polynomial and Composite Polynomial Lyapunov Functions and Sum-of-Squares Programming

机译：多项式和复合多项式Lyapunov函数的稳定性区域分析和平方和编程

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摘要

We propose using (bilinear) sum-of-squares programming for obtaining inner bounds of RoAs for dynamical systems with polynomial vector fields. We search for polynomial as well as composite Lyapunov functions comprised of pointwise maximums of polynomial f

机译：我们建议使用（双线性）平方和编程来获得具有多项式矢量场的动力系统的RoAs内边界。我们搜索多项式以及由多项式f的逐点最大值组成的复合Lyapunov函数

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《IEEE Transactions on Automatic Control》 |2008年第2期|p.565-571|共7页
作者
Weehong Tan; Packard A.;
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7. Stability region analysis using polynomial and composite polynomial Lyapunov functions and sum-of-squares programming [O] . Weehong Tan, Andrew Packard 2008

机译：使用多项式和复合多项式Lyapunov函数和平方和编程的稳定区域分析

Stability Region Analysis Using Polynomial and Composite Polynomial Lyapunov Functions and Sum-of-Squares Programming

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