On Relationship between Eigenvalue Loci and Stability in Bimodal Piecewise Linear Systems
On Relationship between Eigenvalue Loci and Stability in Bimodal Piecewise Linear Systems
复制标题
双峰分段线性系统特征值轨迹与稳定性的关系
DOI：
10.9746/sicetr1965.39.1048
复制
发表时间：
2003
期刊：
影响因子：
--
通讯作者：
S. Hara
中科院分区：
文献类型：
--
作者：
Y. Iwatani;S. Hara
本文研究双峰分段线性系统的收敛性和稳定性分析。我们首先证明了2维B-PWL系统的原点全局渐近稳定的一个充分必要条件是由相应子系统的特征值轨迹刻画的。然后讨论了它在n维情形的推广，得到了保证n维B-PWL系统的态收敛到原点的一个必要条件和一个充分条件.
In this paper, we consider convergence and stability analysis for Bimodal piecewise linear (B-PWL) systems. We first show that a necessary and sufficient condition for the origin of 2-dimensional B-PWL systems to be globally asymptotically stable is characterized by eigenvalue loci of the corresponding subsystems. We then discuss its extension to the n dimensional case and derive a necessary condition and a sufficient condition to gurantee convergence of the state of the n-dimensional B-PWL system to the origin.