论文标题
动态系统全球增量稳定性的新标准
A novel criterion for global incremental stability of dynamical systems
论文作者
论文摘要
在本文中，我们建立了充分的条件，以保证所有针对非线性动力学系统的解决方案（也称为系统的全球增量稳定性（GIS））的全球均匀指数稳定性或至少全球渐近稳定性。我们在这里提供了一种根据对数规范评估GIS的替代方法，在该方法下，稳定性成为拓扑概念，并在水平和垂直方面概括为动态系统GIS的众所周知的Demidovich标准。还分析了所有溶液与原点X = 0的收敛性，该溶液也不被认为是系统的平衡状态。理论通过模拟实验说明。
In this paper, we establish the sufficient conditions guaranteeing global uniform exponential stability, or at least global asymptotic stability, of all solutions for nonlinear dynamical systems, also known as global incremental stability (GIS) of the systems. We provide here an alternative approach for assessment of GIS in terms of logarithmic norm under which the stability becomes a topological notion and also generalize both horizontally and vertically the well-known Demidovich criterion for GIS of dynamical systems. Convergence of all solutions to the origin x=0, which is not assumed to be an equilibrium state of system, is also analyzed. Theory is illustrated by a simulation experiment.
