Variety of linear continuous time systems

The epsilon-entropy was adopted as a measure of information in the analysis of linear Gaussian continuous time control systems under the consideration that the `virtual reproductions´ of system input and output are subjected to a common high enough precision requirement. The function of system variety which describes the variation of time average information in system was defined as the difference between epsilon-entropy rates of system input and output. It formulates how does the information or uncertainty of input transmit through the dynamic system and impact output. Relations within variety, Bode sensitivity integral and H_¿ entropy were then derived.