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Input-output representations of spectral systems and adaptive controls. (English) Zbl 0647.93009

Static input-output representations and dynamical input-output representations are presented for the class of distributed parameter systems generated by spectral operators. These representations have forms independent of the dimensions of the system. Thus they are very useful in designing an adaptive control system for an infinite-dimensional system.
Reviewer: M.Megan

MSC:

93B15 Realizations from input-output data
93C25 Control/observation systems in abstract spaces
93C40 Adaptive control/observation systems
47B40 Spectral operators, decomposable operators, well-bounded operators, etc.
93C20 Control/observation systems governed by partial differential equations
93D15 Stabilization of systems by feedback
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References:

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