In our paper we deal with (If/ , p) -integral equivalence of systems: (a) x'(t) EA(t)x(t) +F(t,x,), (b) y'(t) = A(t) y(t). To reach this aim we use Ky Fan fixed point theorem. To proofuniforrnly boundedness we use Iemrnas 6 and 7 which deal with g-compactness.
The necessary and sufficient parametric conditions of complete observability (complete identifiability) of linear stationary system with delay are obtained. An example of completely identifiable but not completely observable system is given. The problem of continuous identification for the spectral observable second order system with delay is investigated. The continuation identification operator for this system is constructed in an explicit form.
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