Feedback stabilization over a Gaussian interference relay channel

Bilal, Ibrahim; Zaidi, Ali A.; Oechtering, Tobias J.; Skoglund, Mikael

doi:10.1109/spawc.2013.6612112

Cited by 1 publication

(3 citation statements)

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“…It is observed in [43] that using such control scheme gives good performance in low interference regime however in high interference regime, system stability does not benefit from relay assistance.…”

Section: ) Mmse Based Control Schemementioning

confidence: 99%

“…If multiple roots exist in the polynomials {J 3 , J 4 }, then we choose ρ to be the root which gives the largest stability region. Proof: The proof is given in our paper [43]. Remark 4.1: The two user Gaussian interference channel studied in [38] is a special case of Gaussian interference relay channel with P r = 0.…”

Section: Achievable Stability Regionmentioning

confidence: 99%

“…We assume that the relay communicates on an orthogonal channel to the controller. It is observed in [43] that the use of relay in a Gaussian channel can significantly enlarge achievable stability region. Such a supportive relay may be part of the communication infrastructure.…”

Section: Introductionmentioning

confidence: 99%

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An optimized linear scheme for stabilization over multi-user Gaussian networks

Bilal

Zaidi

Oechtering

et al. 2013

2013 Information Theory and Applications Workshop (ITA)

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Abstract-Remote stabilization of linear dynamical systems over Gaussian networks is studied. Two linear time invariant systems (plants) with arbitrary distributed initial states are monitored by two separate sensors. The sensors communicate their measurements to two remotely situated controllers over a Gaussian interference, possibly with the assistance from a relay node. The common goal of the sensors, relay, and controllers is to stabilize the plants in mean-square sense. An optimized linear delay-free sensing and control scheme is proposed and sufficient conditions for mean-square stability are derived. These conditions reveal the relationship between plants' stability and communication channel parameters. It is shown that the proposed linear scheme can significantly outperform the existing estimation based control scheme in multi-user Gaussian networks.

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Section: ) Mmse Based Control Schemementioning

confidence: 99%

Section: Achievable Stability Regionmentioning

confidence: 99%