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A closed system is a special class of system with boundaries that matter cannot cross.
This paper explores anti-optimisation as an approach to modelling uncertain nonlinearities for this class of system.
The primary goal of this study was to develop a method for quantifying the acoustic transfer function for this general class of system using radiated sound measurements.
This significantly extends previous results by considering a more general class of system nonlinearities which are modeled as functions of the system input and partially measurable state variables.
Numerical examples illustrate effectiveness of the proposed method as compared to the existing methods in literature in terms of performance and enlarging the class of system.
The sufficient condition is derived first for a class of system described by a parabolic partial differential equation on the basis of a powerful corollary of a comparison theorem due to Courant.
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Figure 1: A sketch of the considered class of systems.
This is a property of a large class of systems scientists describe as chaotic.
This system belongs to the class of systems with forcing occurring at discrete intervals of time.
The effect of high-frequency excitation on a class of systems with friction is considered.
The class of systems is characterized in terms of the average bandlimited impulse response envelope.
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