This paper is concerned with model-independent approaches for the analysis of inception and suppression of oscillations in certain feedback interconnections arising in aerospace and industrial applications. One of the subsystems in the interconnection is known and assumed here to be the wave equation on the circle. The dynamic model of the other subsystem is uncertain, and the approach assumes only its structure, namely its symmetry properties. We show that only the structure (skew-symmetry) of the feedback can be used to explain the instability, and manipulation of the structure (mistuning) can be used to suppress the instability.
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Mehta et al. (2007) studied this question.
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