Observability of Nonlinear Complex Networks in the Presence of Symmetries: A Graphical Approach

Afroza Shirin; Dionicio F. Rios; Francesco Sorrentino

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arXiv · 1308.5261

Observability of Nonlinear Complex Networks in the Presence of Symmetries: A Graphical Approach

Afroza Shirin·Dionicio F. Rios·Francesco Sorrentino

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Abstract

Reconstructing the states of the nodes of a dynamical network is a problem of fundamental importance in the study of neuronal and genetic networks. An underlying related problem is that of observability, i.e., identifying the conditions under which such a reconstruction is possible. In this paper we study observability of complex dynamical networks, where we consider the effects of network symmetries on observability. We present an efficient algorithm that returns a minimal set of necessary sensor nodes for observability in the presence of symmetries.

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Afroza Shirin, Dionicio F. Rios, Francesco Sorrentino. 2013-08-23. Observability of Nonlinear Complex Networks in the Presence of Symmetries: A Graphical Approach. https://arxiv.org/abs/1308.5261

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