Robust Stability Analysis of Nonlinear Hybrid Systems
Robust Stability Analysis of Nonlinear Hybrid Systems
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DOI：
10.1109/tac.2009.2017155
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发表时间：
2009-05
影响因子：
6.8
通讯作者：
A. Papachristodoulou;S. Prajna
中科院分区：
文献类型：
--
作者：
A. Papachristodoulou;S. Prajna
我们提出了一种非线性混合系统的鲁棒稳定性分析的方法，通过算法构造的多项式和分段多项式Lyapunov函数使用凸优化，特别是多变量多项式的平方和分解。与以往的方法相比，讨论了几个改进，如以统一的方式处理多项式切换面和非线性混合系统的鲁棒稳定性分析。
We present a methodology for robust stability analysis of nonlinear hybrid systems, through the algorithmic construction of polynomial and piecewise polynomial Lyapunov-like functions using convex optimization and in particular the sum of squares decomposition of multivariate polynomials. Several improvements compared to previous approaches are discussed, such as treating in a unified way polynomial switching surfaces and robust stability analysis for nonlinear hybrid systems.