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Transferring Instantly the State of Higher-Order Linear Descriptor (Regular) Differential Systems Using Impulsive Inputs
Joint Authors
Pantelous, Athanasios A.
Kalogeropoulos, Grigoris I.
Karageorgos, Athanasios D.
Source
Journal of Control Science and Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-29, 29 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-12
Country of Publication
Egypt
No. of Pages
29
Main Subjects
Electronic engineering
Information Technology and Computer Science
Abstract EN
In many applications, and generally speaking in many dynamical differential systems, the problem of transferring the initial state of the system to a desired state in (almost) zero-time time is desirable but difficult to achieve.
Theoretically, this can be achieved by using a linear combination of Dirac δ-function and its derivatives.
Obviously, such an input is physically unrealizable.
However, we can think of it approximately as a combination of small pulses of very high magnitude and infinitely small duration.
In this paper, the approximation process of the distributional behaviour of higher-order linear descriptor (regular) differential systems is presented.
Thus, new analytical formulae based on linear algebra methods and generalized inverses theory are provided.
Our approach is quite general and some significant conditions are derived.
Finally, a numerical example is presented and discussed.
American Psychological Association (APA)
Karageorgos, Athanasios D.& Pantelous, Athanasios A.& Kalogeropoulos, Grigoris I.. 2009. Transferring Instantly the State of Higher-Order Linear Descriptor (Regular) Differential Systems Using Impulsive Inputs. Journal of Control Science and Engineering،Vol. 2009, no. 2009, pp.1-29.
https://search.emarefa.net/detail/BIM-480958
Modern Language Association (MLA)
Karageorgos, Athanasios D.…[et al.]. Transferring Instantly the State of Higher-Order Linear Descriptor (Regular) Differential Systems Using Impulsive Inputs. Journal of Control Science and Engineering No. 2009 (2009), pp.1-29.
https://search.emarefa.net/detail/BIM-480958
American Medical Association (AMA)
Karageorgos, Athanasios D.& Pantelous, Athanasios A.& Kalogeropoulos, Grigoris I.. Transferring Instantly the State of Higher-Order Linear Descriptor (Regular) Differential Systems Using Impulsive Inputs. Journal of Control Science and Engineering. 2009. Vol. 2009, no. 2009, pp.1-29.
https://search.emarefa.net/detail/BIM-480958
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480958