Stability Analysis of Networked Impulsive Control Systems

In this paper, a class of new models of networked linear impulsive control systems are formulated and their stability are studied. The data dropouts rate over TV steps (DRNS) is defined and the impact of data dropouts on the system stability is analyzed. Moreover, the maximal allowable DRNS is computed, which provides a guideline for the system stability in the sense that if the actual DRNS is smaller than this maximal value then the system is asymptotically stable. To handle the network-induced delays, a propagation unit based on the system model is introduced to the system. A necessary and sufficient condition on the asymptotical stability of the networked system with the propagation unit is finally derived.