1. On the Impacts of Redundancy, Diversity, and Trust in Resilient Distributed State Estimation
- Author
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Waseem Abbas, Aritra Mitra, Faiq Ghawash, and Shreyas Sundaram
- Subjects
Control and Optimization ,Computer Networks and Communications ,Computer science ,Process (engineering) ,Distributed computing ,Systems and Control (eess.SY) ,Electrical Engineering and Systems Science - Systems and Control ,Set (abstract data type) ,Network planning and design ,Optimization and Control (math.OC) ,Control and Systems Engineering ,Robustness (computer science) ,Signal Processing ,FOS: Electrical engineering, electronic engineering, information engineering ,FOS: Mathematics ,Redundancy (engineering) ,Task analysis ,State (computer science) ,Mathematics - Optimization and Control ,Computer Science::Cryptography and Security ,Diversity (business) - Abstract
We address the problem of distributed state estimation of a linear dynamical process in an attack-prone environment. Recent attempts to solve this problem impose stringent redundancy requirements on the measurement and communication resources of the network. In this paper, we take a step towards alleviating such strict requirements by exploring two complementary directions: (i) making a small subset of the nodes immune to attacks, or "trusted", and (ii) incorporating diversity into the network. We define graph-theoretic constructs that formally capture the notions of redundancy, diversity, and trust. Based on these constructs, we develop a resilient estimation algorithm and demonstrate that even relatively sparse networks that either exhibit node-diversity, or contain a small subset of trusted nodes, can be just as resilient to adversarial attacks as more dense networks. Finally, given a finite budget for network design, we focus on characterizing the complexity of (i) selecting a set of trusted nodes, and (ii) allocating diversity, so as to achieve a desired level of robustness. We establish that, unfortunately, each of these problems is NP-complete.
- Published
- 2021
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