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Topology Reconstruction of Dynamical Networks via Constrained Lyapunov Equations. (arXiv:1706.09709v1 [math.OC])
来源于:arXiv
The network structure (or topology) of a dynamical network is often
unavailable or uncertain. Hence, in this paper we consider the problem of
network reconstruction. Network reconstruction aims at inferring the topology
of a dynamical network using measurements obtained from the network. This paper
rigorously defines what is meant by solvability of the network reconstruction
problem. Subsequently, we provide necessary and sufficient conditions under
which the network reconstruction problem is solvable. Finally, using
constrained Lyapunov equations, we establish novel network reconstruction
algorithms, applicable to general dynamical networks. We also provide
specialized algorithms for specific network dynamics, such as the well-known
consensus and adjacency dynamics. 查看全文>>