Laguerre polynomial approximation of fractional order linear systems

Lecture Notes in Electrical Engineering

Volumn 257 LNEE, Issue , 2013, Pages 171-182

  Bania, Piotr ^a   Baranowski, Jerzy ^a  

^a AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; DIFFERENTIAL EQUATIONS; LINEAR SYSTEMS;

FINITE DIMENSIONAL APPROXIMATION; FRACTIONAL ORDER; FRACTIONAL OSCILLATORS; FRACTIONAL SYSTEMS; FRACTIONAL-ORDER SYSTEMS; LINEAR DIFFERENTIAL EQUATION; LINEAR FUNCTIONAL; TRANSPORT EQUATION;

POLYNOMIAL APPROXIMATION;

EID: 84880735340     PISSN: 18761100     EISSN: 18761119     Source Type: Book Series    
DOI: 10.1007/978-3-319-00933-9_15     Document Type: Conference Paper

References (7)

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2. Grabowski, P.: Lecture Notes on Optimal Control Systems. Wydawnictwa AGH, Kraków (1999); Revised internet edition 2006: http://home.agh.edu.pl/ ~pgrab/grabowski-files/lecturedition2/newlecture.xml
3. Miller, K., Ross, B.: An Introduction to the Fractional Calculus and Fractional Differential Equations. Wiley, New York (1993)
4. Monje, C., Chen, Y., Vinagre, B., Xue, D., Feliu-Batlle, V.: Fractional-Order Systems and Controls: Fundamentals and Applications. Advances in Industrial Control, vol. XXVI. Springer, London (2010)
5. Narahari Achar, B.N., Hanneken, J.W., Clarke, T.: Response characteristics of a fractional oscillator. Physica A 309, 275-288 (2002) (Pubitemid 34614320)
6. Peng, J., Li, K.: A novel characteristic of solution operator for the fractional abstract Cauchy problem. Journal of Mathematical Analysis and its Applications 385, 786-796 (2012)
7. Podlubny, I.: Fractional Differential Equations. Academic Press (1999)