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Stability Analysis of Nonlinear Systems via Locally Defined Density Functions
Izumi Masubuchi 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
This paper considers local stability analysis of nonlinear systems with deriving a positively in variant set based on Rantzer’s stability theory byuing density functions. We define notion of locally defined density functions around an equilibrium that give monotonously increasing positive measures near the equilibrim of an onlinear system. Under several assumptions, it is shown that some level set of alocally defined density function is apositively in variant set where almost all of the system trajectories converge to the equilibrium.