Inverses of Linear Sequential Circuits
IEEE Transactions on Computers
| Hi-index | 22.14 |
Most of the previous studies on inverse systems have treated only the case where all components of the input of the original system are recoverable. However, even when not all components are recoverable, there is still a possibility of reproducing part of the input. As a generalization of the inverse of a linear time-invariant dynamical system to include such cases, '@a-integral F-inverse' is proposed in this paper which reproduces the @ath integral of a linear function Fu of the input vector u. A necessary and sufficient condition for the existence of an @a-integral F-inverse is derived. A construction procedure of such an inverse is also given along with a numerical example.