Citation
Miroslav Pajic, Shreyas Sundaram, George Pappas. "Stabilizability over Deterministic Relay Networks". IEEE Conference on Decision and Control 2013, December, 2013.

Abstract
We consider the problem of linear system stabilization using a set of decentralized controllers that communicate with the plant's sensors over a network that employs linear network coding. Our analysis is built upon an existing algebraic description of deterministic relay networks, which is able to model broadcast transmissions and multiple access channel constraints. Since these networks can be described as linear time-invariant systems with specific transfer functions, this network representation allows us to reason about the control system and network (and their interaction) using a common mathematical framework. In this paper we characterize algebraic and topological stabilizability conditions for a wide class of these networks. Our analysis shows that the (algebraic) structure of a network required for stabilization of a dynamical plant can be related to the plant's dynamics; in particular, we prove that the geometric multiplicities of the plant's unstable eigenvalues play a key role in the ability to stabilize the system over such networks.

Electronic downloads

• http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6760504

• HTML

  Miroslav Pajic, Shreyas Sundaram, George Pappas. <a
  href="http://www.terraswarm.org/pubs/104.html"
  >Stabilizability over Deterministic Relay
  Networks</a>, IEEE Conference on Decision and Control
  2013, December, 2013.

• Plain text

  Miroslav Pajic, Shreyas Sundaram, George Pappas.
  "Stabilizability over Deterministic Relay
  Networks". IEEE Conference on Decision and Control
  2013, December, 2013.

• BibTeX

  @inproceedings{PajicSundaramPappas13_StabilizabilityOverDeterministicRelayNetworks,
      author = {Miroslav Pajic and Shreyas Sundaram and George
                Pappas},
      title = {Stabilizability over Deterministic Relay Networks},
      booktitle = {IEEE Conference on Decision and Control 2013},
      month = {December},
      year = {2013},
      abstract = {We consider the problem of linear system
                stabilization using a set of decentralized
                controllers that communicate with the plant's
                sensors over a network that employs linear network
                coding. Our analysis is built upon an existing
                algebraic description of deterministic relay
                networks, which is able to model broadcast
                transmissions and multiple access channel
                constraints. Since these networks can be described
                as linear time-invariant systems with specific
                transfer functions, this network representation
                allows us to reason about the control system and
                network (and their interaction) using a common
                mathematical framework. In this paper we
                characterize algebraic and topological
                stabilizability conditions for a wide class of
                these networks. Our analysis shows that the
                (algebraic) structure of a network required for
                stabilization of a dynamical plant can be related
                to the plant's dynamics; in particular, we prove
                that the geometric multiplicities of the plant's
                unstable eigenvalues play a key role in the
                ability to stabilize the system over such networks.},
      URL = {http://terraswarm.org/pubs/104.html}
  }
  

Posted by Mila MacBain on 17 Sep 2013.