Necessary and sufficient conditions for the identifiability of isolated loops
This Letter provides necessary and sufficient conditions on the excitation and measurement pattern (EMP) that guarantee identifiability of a dynamical network that has the structure of a loop. The conditions are extremely simple in their formulation, and they can be checked by visual inspection. They allow one to easily characterize all EMPs that make the loop network identifiable.
Code (0)
등록된 구현이 없습니다.
Similar Papers 제목 키워드 기반
Extending identifiability results from isolated networks to embedded networks
This paper deals with the design of Excitation and Measurement Patterns (EMPs) for the identification of dynamical networks, when the objective is to identify only a subnetwork embedded in a larger network. Recent result…
validDeterministic Conditions for Subspace Identifiability from Incomplete Sampling
Consider a generic $r$-dimensional subspace of $\mathbb{R}^d$, $r<d$, and suppose that we are only given projections of this subspace onto small subsets of the canonical coordinates. The paper establishes necessary and s…
Local Identifiability of Deep ReLU Neural Networks: the Theory
Is a sample rich enough to determine, at least locally, the parameters of a neural network? To answer this question, we introduce a new local parameterization of a given deep ReLU neural network by fixing the values of s…
Neural network identifiability for a family of sigmoidal nonlinearities
This paper addresses the following question of neural network identifiability: Does the input-output map realized by a feed-forward neural network with respect to a given nonlinearity uniquely specify the network archite…
Identifiability and Maximum Likelihood Estimation for System Identification of Networks of Dynamical Systems
In this paper we investigate identifiability and maximum likelihood estimation for direct system identification of networks of dynamical systems. We provide necessary and sufficient conditions for network identifiability…