Topics in matrix analysis
Parallel and Distributed Computation: Numerical Methods
Parallel and Distributed Computation: Numerical Methods
An algebraic approach to network coding
IEEE/ACM Transactions on Networking (TON)
A scheme for robust distributed sensor fusion based on average consensus
IPSN '05 Proceedings of the 4th international symposium on Information processing in sensor networks
Automatica (Journal of IFAC)
IEEE Transactions on Signal Processing
Broadcast gossip algorithms for consensus
IEEE Transactions on Signal Processing
Efficient algorithms for solving overdefined systems of multivariate polynomial equations
EUROCRYPT'00 Proceedings of the 19th international conference on Theory and application of cryptographic techniques
On frame and orientation localization for relative sensing networks
Automatica (Journal of IFAC)
On the robust synthesis of logical consensus algorithms for distributed intrusion detection
Automatica (Journal of IFAC)
| Hi-index | 22.14 |
This work studies consensus strategies for networks of agents with limited memory, computation, and communication capabilities. We assume that agents can process only values from a finite alphabet, and we adopt the framework of finite fields, where the alphabet consists of the integers {0,...,p-1}, for some prime number p, and operations are performed modulo p. Thus, we define a new class of consensus dynamics, which can be exploited in certain applications such as pose estimation in capacity and memory constrained sensor networks. For consensus networks over finite fields, we provide necessary and sufficient conditions on the network topology and weights to ensure convergence. We show that consensus networks over finite fields converge in finite time, a feature that can be hardly achieved over the field of real numbers. For the design of finite-field consensus networks, we propose a general design method, with high computational complexity, and a network composition rule to generate large consensus networks from smaller components. Finally, we discuss the application of finite-field consensus networks to distributed averaging and pose estimation in sensor networks.