Symbolic computations of non-linear observability

Ezequiel Julian Bianco-Martinez, Murilo Da Silva Baptista, Christophe Letellier

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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 introduced here a new 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 5D rational system.
Original languageEnglish
Article number062912
Number of pages10
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Issue number6
Publication statusPublished - 18 Jun 2015

Bibliographical note

Date of Acceptance: 22/05/2015
E.B.M. and M.S.B. acknowledge the Engineering and Physical Sciences Research Council (EPSRC), Grant No. EP/I032608/1. This work was done during a stay of E.B.M. at CORIA (Rouen) and a stay of C.L. at ICSMB (Aberdeen).


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