Equilibria of continuous-time recurrent fuzzy systems

Unlike static fuzzy systems, recurrent fuzzy systems allow representing knowledge-based dynamic processes that can be stated in the form of “if … , then …” rules, making it possible to model systems that can only be described qualitatively. Further possible applications exist in the case where the dynamics of a system are quantitatively known, but only in certain mesh points. The interpolating character of the fuzzy system between the dynamics of the mesh points yields a complete dynamic model. Based on discrete-time recurrent fuzzy systems this article presents first steps towards the theory of continuous-time recurrent fuzzy systems and provides criteria for the investigation of the dynamics of this class of systems.