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Several structural features are investigated for the class of systems <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ΠK</tex> composed of <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">K</tex> linear dynamic subsystems connected in parallel with outputs multiplied (in the time domain). Concepts of reachability and observability of <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ΠK</tex> are introduced and characterized in terms of properties of the symmetric Volterra transfer function and associated transform, respectively. An algorithm for realization is provided and it is shown that complete identification of <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ΠK</tex> can be accomplished from steady-state response measurements for a finite number of two-tone sinusoidal inputs.
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Harper et al. (1976) studied this question.
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