Complete observability of differential-algebraic systems with delays |
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Authors: | V M Marchenko |
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Institution: | 1.Belarus State Technological University,Minsk,Belarus;2.Politechnika Bia?ostocka, Bia?ystok,Bia?ystok,Poland |
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Abstract: | We study the statement and solvability of complete observability problems for linear stationary differential-algebraic dynamical
systems with delays (DAD systems. Since in the general case, the state space of such systems is infinite-dimensional and is
not necessarily “minimal,” we consider various statements of problems depending on what states are observed. Our attention
is focused on the simplest DAD system in symmetric form. We obtain efficient parametric criteria and analyze relationships
between various notions of complete observability for DAD systems. In the case of DAD systems with scalar coefficients, we
obtain a complete classification of notions of complete observability in the class of continuous initial functions with the
continuous matching condition. We analyze the problem of computing the minimum number of outputs of a spectrally observable
DAD system. |
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Keywords: | |
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