Title :
An Efficient Algorithm for Approximating Impulse Inputs and Transferring Instantly the State of Linear Matrix Control Systems
Author :
Karageorgos, Athanasios A. ; Pantelous, Athanasios A. ; Kalogeropoulos, Grigoris I.
Author_Institution :
Dept. of Math., Univ. of Athens, Athens
Abstract :
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.
Keywords :
Dirac equation; control system synthesis; linear matrix inequalities; zero assignment; Dirac function; Dirac sequence; algorithmic method; control theory; linear matrix control systems; linear matrix differential systems; relative matrix coefficients; system theory; Aerospace industry; Application software; Communication system control; Control system synthesis; Control systems; Insurance; Integrated circuit technology; Linear systems; Macroeconomics; Pricing; Algorithm; Control input; Dirac Delta Function; Linear Descriptor System;
Conference_Titel :
Computer Modelling and Simulation, 2009. UKSIM '09. 11th International Conference on
Conference_Location :
Cambridge
Print_ISBN :
978-1-4244-3771-9
Electronic_ISBN :
978-0-7695-3593-7
DOI :
10.1109/UKSIM.2009.10