抄録
A procedure is presented in this paper to construct the low order minimal integral left inverse of linear multivariable systems. The approach is based on the design of an observer to estimate a linear function of state variables of a linear system. Some simplified criteria for obtaining the minimal order of the minimal integral inverse are shown. Under a mild condition, it is shown that the minimal order is uniquely determined from the knowledge of ranks of appropriate augmented matrices. Then the stability of the reduced order minimal integral inverse is examined, and the results are also used to make a comparison between the integral inverse and the Silverman type inverse systems.
