对于分段线性系统稳定性分析以及控制器的优化设计问题，本文给出了一种基于分段二次李雅普·诺夫函数的求解方法。
Based on a piecewise quadratic Lyapunov function, this paper presented a stability analysis and optimal controller design method for piecewise linear systems.
本文提出将给定函数或离散坐标点定义的曲线，分段用二次曲线拟合的计算方法。
A new calculation is presented, in which the given functions or curves defined by dispersed coordinate points are approximated by quadratic curve in several parts.
对PWA模型的状态区域进一步的细化凸划分，以增加找到分段二次lyapunov函数的可能性，减低闭环系统稳定性分析的保守性。
Further convex partitioning of the state's regions increases the possibility of finding the piece-wise quadratic Lyapunov functions, which reduces the conservativeness of the stability analysis.
对PWA模型的状态区域进一步的细化凸划分，以增加找到分段二次lyapunov函数的可能性，减低闭环系统稳定性分析的保守性。
Further convex partitioning of the state's regions increases the possibility of finding the piece-wise quadratic Lyapunov functions, which reduces the conservativeness of the stability analysis.
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