@conference {
	title = {Observing a Linear Process over Analog Erasure Channels using Multiple Sensors: Necessary and Sufficient Conditions for Mean-square Stability},
	author = {Gupta, Vijay., Martins, Nuno C., Baras, John S.},
	year = {2007},
	month = {12/2007},
	abstract = {Consider a discrete-time linear time-invariant process being observed by two sensors, which are connected to an observer via links that can be modeled as erasure channels. If a link transmits successfully then a finite-dimensional vector of real numbers is conveyed from the sensor to the controller. If an erasure event occurs, then any information conveyed over the link is lost. This paper addresses the problem of designing the maps that specify the processing at the sensors and the observer to calculate the minimum mean square error estimate of the state of the process. We derive necessary and sufficient conditions for the existence of maps such that the estimate error is bounded in the second moment sense.},
	address = {New Orleans, Louisiana},
	booktitle = {46th IEEE Conference on Decision and Control},
	pages = {pp. 659-664}
}
@conference {
	title = {Stabilization Using Multiple Sensors over Analog Erasure Channels},
	author = {Gupta, Vijay., Martins, Nuno C., Baras, John S.},
	year = {2007},
	month = {04/2007},
	abstract = {Consider a discrete-time, linear time-invariant process,two sensors and one controller. The process is observed by the sensors, which are connected to the controller via links that can be modeled as erasure channels. If a link transmits successfully then a finite-dimensional vector of real numbers is conveyed from the sensor to the controller. If an erasure event occurs, then any information conveyed over the link is lost. This paper addresses the problem of designing the maps that specify the processing at the controller and at the sensors for stabilizing the process in the bounded second moment sense. When the information is lost over the links either in an independent and identically distributed (i.i.d.) or Markovian fashion over time,we derive necessary and sufficient conditions for the existence of maps such that the process is stabilized. Such conditions are expressed as inequalities involving the parameters of the plant and the probabilities of link fading. and provide the least conservative stabilization conditions. We also indicate how our approach can be used if more than two sensors are available,if the sensors can cooperate and if the acknowledgment signals are also transmitted over erasure channels. The analysis also carries over to the case when the single channels are replaced by networks of erasure channels.},
	address = {Limassol, Cyprus},
	booktitle = {Proceedings of the 2007 Control Over Communication Channels, co-located with IEEE WiOpt 2007 Conference},
	pages = {pp. 1-7}
}
