In this paper we give a formal deenition of dissipative systems that is considerably more general than earlier deenitions. The measured output is irrelevant in this formulation. The key component of dissipation is an appropriate work rate. We also deene cyclo-dissipation and show how it can be used to obtain a suitable work rate. Using this idea, we propose a new work rate for the Preisach hyst...

A new neuron activation function based on a property found in physical systems--hysteresis--is proposed. We incorporate this neuron activation in a fully connected dynamical system to form the hysteretic Hopfield neural network (HHNN). We then present an analog implementation of this architecture and its associated dynamical equation and energy function.We proceed to prove Lyapunov stability fo...

In this note we present results for nonlinear and hysteretic constitutive laws for lled elastomers. Theoretical, computational and experimental results are given.