On the stability of networked impulsive control systems

In this paper, the stability of linear networked impulsive control systems is studied. The data dropout rate over N steps (DRNS) is defined, and the maximal allowable DRNS is computed, which provides a guideline for the system stability in the sense that, if the actual DRNS is less 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 for the asymptotical stability of the networked system with the propagation unit is derived. Furthermore, networked linearized impulsive control systems suffering from both transmission delays and data dropouts are also investigated. To design proper impulsive controllers for such systems, some algorithms are further proposed based on LMI techniques and V-K iteration approaches. Finally, numerical examples are presented to illustrate the theoretical results. © 2011 John Wiley & Sons, Ltd.