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Article Dans Une Revue Physical Review E Année : 2015

Symbolic computations of nonlinear observability

Résumé

Observability is a very useful concept for determining whether the dynamics of complicated systems can be correctly reconstructed from a single (univariate or multivariate) time series. When the governing equations of dynamical systems are high-dimensional and/or rational, analytical computations of observability coefficients produce large polynomial functions with a number of terms that become exponentially large with the dimension and the nature of the system. In order to overcome this difficulty, we introduce here a symbolic observability coefficient based on a symbolic computation of the determinant of the observability matrix. The computation of such coefficients is straightforward and can be easily analytically carried out, as demonstrated in this paper for a five-dimensional rational system.

Dates et versions

hal-01612374 , version 1 (06-10-2017)

Identifiants

Citer

Ezequiel Bianco-Martinez, Murilo S. Baptista, Christophe Letellier. Symbolic computations of nonlinear observability. Physical Review E , 2015, 91 (6), pp.062912. ⟨10.1103/PhysRevE.91.062912⟩. ⟨hal-01612374⟩
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