Tytuł artykułu
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Warianty tytułu
Języki publikacji
Abstrakty
In many practical applications, the (almost) zero time state changing is more than important. Thus, in this short paper we develop a methodology for the state changing of a multi-input multi-output linear control differential system by using a linear combination of Dirac δ-function and its derivatives. Obviously, such an input is very hard to imagine physically. Using linear algebra techniques and the generalized inverse theory, the input's coefficients are fully determined. Finally, the whole work ends up with the analytic presentation of an illustrative numerical example.
Czasopismo
Rocznik
Tom
Strony
11--15
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
autor
autor
- Department of Mathematics, University of Athens, Panepistimiopolis, 157 84 Athens, Greece, gkaloger@math.uoa.gr
Bibliografia
- [1] Ben-Israel A., Greville T.N.E., Generalized Inverses: theory and applications, John Wiley and Sons, New York, 1974.
- [2] Bjerhammar A., A generallzed matrix algebra, Kungl. Tekn. Högsk. Handl., 1968, 124, pp. 1-32.
- [3] Bowen J.M., Delta function terms arising from classical point source fields, Am. J. Phys., 1994, 62, pp. 511-515.
- [4] Boykin T.B., Derivatives of the Dirac delta function by explicit construction of sequences, Am. J. Phys., 2003, 72, pp. 462-468.
- [5] Gupta S.C., Hasdorff L., Changing the state of a linear system by use of normal function and its derivatives, J. Electronics Control, 1963, 14, pp. 351-359.
- [6] Gupta S.C., Transform and state variable methods in linear systems, Wiley New York, U.S.A., 1966.
- [7] Kanwal R.P., Generalized Functions: Theory and applications, Birkäuser, 3rd ed., U.S.A., 2004.
- [8] Kalogeropoulos G.I., Pantelous A.A., Can be linear difference descriptor systems appeared in Insurance? Proc. 7th Int. Conf. APLIMAT 2008, Bratislava, Slovakia, 2008, pp. 467-478.
- [9] Kalogeropoulos G.I., Karageorgos A.D., Pantelous A.A., Changing the state of a linear differential system in (almost) zero time by using distributional input function, Systems Science, 2007, 33(4), pp. 37-55.
- [10] Penrose R., A generalized inverse for matrices. Proc. Cambridge Rhilos., 1955, 51, pp. 406-413.
- [11] Roos B.W., Analytic functions and distributions in physic nnd engineering, Wiley, New York, U.S.A., 1969.
- [12] Zemanian A.H., Distribution theory and transform analysis: An introduction to generalized functions, with applications, Dover Publications, Inc., New York, U.S.A., 1987.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0042-0002