Stability for a class of dynamic systems with an internal cause condition

This paper generalizes stability for a dynamic system with an internal cause condition. An internal factor which determines system state information is described as internal cause for the dynamic system. Some stability definitions are presented for the dynamic system with an internal cause condition. Moreover, some criteria are also derived to guarantee that the dynamic system is globally asymptotically stable and quadratically stable. A numerical result is provided to demonstrate the effectiveness of the proposed techniques in this paper.