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Abstract

A method for synthesis of an advanced hysteresis function of a plurality of inputs providing cross-feedback-controlled hysteron synthesized hysteresis networks for signal processing, controllers, music, and computer simulations in physics, engineering, and economics is described. The method includes receiving and processing of a plurality of input signals with at least two parameterized multivariable nonlinearities, each parameterized multivariable nonlinearity serving as a parameterized hysteron, to produce at least one associated output signal. The output signals are processed by controller functions, each controller function comprising memory and producing at least one control signal responsive to at least one of the output signals and for controlling an associated parameterized hysteron. The resulting system provides a hysteretic response to at least one of the plurality of input signals, and can be used in the modeling and nonlinear control of systems involving networks of gears, electrical transformers, economic processes, or other networked hysteretic elements.

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