ABSTRACT
The rapid development in network technologies in the past few years has led to a revolution in engineering practices [36]. Using a network as the basement of a feedback control loop is now widely applied in various types of engineering programs; this has gained a great deal of research interest [36, 165, 213, 255]. The usage of networks in control systems has many advantages such as low cost, reduced weight and simple installation, as well as some limitations including the network-induced time-delays (also called communication delays) and data package loss caused mainly by the complex working conditions and limited bandwidth. As a result, most of the literature on network systems has focused on how to eliminate or compensate for the effect caused by the communication delays [165,196] and data package loss [116,187]. Many researchers have studied the stability and controller design problems for networked systems in the presence of deterministic communication delays. Recently, due to the fact that such kinds of time-delays usually appear in a random and time-varying fashion, the communication delays have been modeled in various probabilistic ways, see [165, 196, 219, 236, 250], among which the binary random delay has gained particular research interest because of its simplicity and practicality in describing network-induced delays [219, 236].
