An Efficient Algorithm for Approximating Impulse Inputs and Transferring Instantly the State of Linear Matrix Control Systems

摘要

Last decades, the control and system theory has been beneficed more by the new technological trends. Thus, in numerous (computational) applications, for instant in electronics, in computers, in engineering, as well as, in financial issues, some elements of the control and system theory have been introduced. In this paper, we are interested to change instantly the state of linear matrix differential systems into zero time by using very appropriate inputs. Thus, our desired inputs are chosen to be sequences of Dirac function and its derivatives. A new algorithmic method for the approximation of the Dirac sequence and the calculations of the relative matrix coefficients is introduced. This approach extends further our knowledge to this issue.