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Issue No. 09 - Sept. (2012 vol. 23)
ISSN: 1045-9219
pp: 1694-1707
Mengran Xue , Washington State University, Pullman
Sajal K. Das , University of Texas at Arlington, Arlington
Sandip Roy , Washington State University, Pullman
ABSTRACT
Motivated by the increasing need for developing automated decision-support tools for cyber-physical networks subject to uncertainties, we have been pursuing development of a new control-theoretic framework for network security and vulnerability. In this paper, we build on the proposed framework to put forth concrete definitions for security and (dually) discoverability, for a class of models that can represent dynamics of numerous cyber-physical networks of interest: namely, dynamical network spread models. These security and discoverability definitions capture whether or not, and to what extent, a stakeholder can infer the temporal dynamics of the spread from localized and noisy measurements. We then equivalence these security and security-level definitions to the control-theoretic notions of observability and optimal estimation, and so obtain explicit algebraic and spectral conditions for security and analyses of the security level. Further drawing on graph-theory constructs, a series of graphical conditions for security, as well as characterizations of security levels, are derived. A case study on zoonotic disease spread is also included, to illustrate concrete application of the analyses in management of cyber-physical infrastructure networks.
INDEX TERMS
Security, Estimation, Computational modeling, Biological system modeling, Noise measurement, Vectors, Diseases, graph theory, Security, Estimation, Computational modeling, Biological system modeling, Noise measurement, Vectors, Diseases, control theory., Security, network estimation, dynamical models
CITATION
Mengran Xue, Sajal K. Das, Sandip Roy, "Security and Discoverability of Spread Dynamics in Cyber-Physical Networks", IEEE Transactions on Parallel & Distributed Systems, vol. 23, no. , pp. 1694-1707, Sept. 2012, doi:10.1109/TPDS.2012.59
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