On The Solution of Linear Time-varying Differential Dynamical Systems with Fuzzy Initial Condition and Fuzzy Inputs

摘要

In this paper we investigate the solutions of linear time-varying differential dynamical systems with fuzzy initial condition and fuzzy inputs. We use a complex number representation of the a -level sets of the fuzzy states to characterize the solutions of such systems by a closed form formula which could be easily used in practical computations. Examples are given to illustrate the results.