Local stability analysis of piecewise affine systems
Local stability analysis of piecewise affine systems
复制标题
分段仿射系统的局部稳定性分析
DOI：
10.23919/ecc.2003.7084935
复制
发表时间：
2003
期刊：
影响因子：
--
通讯作者：
K. Takaba
中科院分区：
文献类型：
--
作者：
Hayato Nakada;K. Takaba
研究了一类分段仿射系统的局部稳定性。在分段二次李雅普诺夫函数方面，我们推导出一个新的矩阵不等式条件，明确地描述了分段仿射系统的吸引域的内部近似。我们还通过两个数值例子证明了本方法的有效性。
This paper is concerned with the local stability of a piece-wise affine system. In terms of piecewise quadratic Lyapunov functions, we derive a new matrix inequality condition that explicitly characterizes an inner approximation of the domain of attraction for the piecewise affine system. We also show the effectiveness of the present method by two numerical examples.