基于不变集的一类混合系统的稳定性

Stability of a Class of Hybrid Dynamical Systems Based on Invariable Sets

利用混合 Petri网为混合系统建模 ,探讨了基于不变集混合系统在 L yapunov意义下关于恢复半径的稳定性概念 ,并给出利用 L yapunov函数法判定混合系统的稳定性、一致稳定和渐近稳定的充分条件。

Hybrid dynamical systems (HDS) are modeled with hybrid Petri net. The stability in the sense of Lyapunov with resiliency radius of HDS based on invariable sets is discussed. Sufficient conditions to determine the stability, uniform stability and asymptotic stability of the systems are presented.