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On analytic and algebraic observability of nonlinear delay systems

Milena Anguelova (Institutionen för matematiska vetenskaper, matematik) ; Bernt Wennberg (Institutionen för matematiska vetenskaper, matematik)
Automatica (0005-1098). Vol. 46 (2010), 4, p. 682-686.
[Artikel, refereegranskad vetenskaplig]

The observability of nonlinear delay systems has previously been defined in an algebraic setting by a rank condition on modules over noncommutative rings. We introduce an analytic definition of observability to ensure the local uniqueness of state and initial conditions that correspond to a given input-output behaviour. It is shown that an algebraically observable delay system can be reformulated as a system of ordinary differential equations. Analytic observability is then decided by the local uniqueness of solutions to a boundary value problem for this ODE system. (C) 2010 Elsevier Ltd. All rights reserved.

Nyckelord: Observability, Time delay, Nonlinear systems, TIME, IDENTIFIABILITY

Denna post skapades 2010-06-03. Senast ändrad 2014-09-02.
CPL Pubid: 122295


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