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Purpose Many important electronic systems are modelled by discrete-time equations with nonlinearities that are discontinuous and piecewise-linear, often arising as a result of quantization. Approximations based on linearizationthe standard engineering response to nonlinearityare often quite unhelpful in these systems, because of the form of the nonlinearity. Certain methods and results have been developed over a number of years for the analysis of discontinuous piecewise-linear discrete-timedoi:10.1108/03321641111133208 fatcat:g74fhsucfzaajd7n22qhobyrtm