Stability of networked control systems with large delays

This paper proposes stability analysis techniques for networked control systems (NCSs) with uncertain, time- varying network-induced delays. A discrete-time model, describing an NCS with delays, that can be both smaller and larger than the sampling interval, is presented. This model includes the effects of message rejection and vacancy sampling. The conditions are kept less conservative by exploiting the real Jordan form of the continuous-time model in the discretization. Based on this discrete-time NCS model sufficient LMI conditions are proposed for the stability analysis