Mutual Relations between Multiple-Input Linear and Multiple-Feedback

Abstract

State models of multiple-input linear non-autonomous dynamical systems are modified to the autonomous form using a multiple piecewise-linear (PWL) feedback. By such a way the corresponding state models of PWL autonomous dynamical system topologically conjugate to Lur'e systems [4] can be derived. As an example, the canonical state models of multiple-input linear and the corresponding multiple PWL feedback systems are proposed. Their state matrix equations and the integrator-based circuit models are shown.