Title

Positive linear systems with different fractional orders

Journal title

Bulletin of the Polish Academy of Sciences Technical Sciences

Yearbook

2010

Volume

58

Issue

No 3

Authors

Kaczorek, T.

Divisions of PAS

Nauki Techniczne

Coverage

453-458

Date

2010

Identifier

DOI: 10.2478/v10175-010-0043-1 ; ISSN 2300-1917

Source

Bulletin of the Polish Academy of Sciences: Technical Sciences; 2010; 58; No 3; 453-458

References

Farina E. (2000), Positive Linear Systems. Theory and Applications. ; Kaczorek T. (2002), Positive 1D and 2D Systems. ; Oldham K. (1974), The Fractional Calculus. ; Ostalczyk P. (2008), Epitome of the Fractional Calculus: Theory and its Applications in Automatics. ; Podlubny I. (1999), Fractional Differential Equations. ; Kaczorek T. (2008), Fractional positive continuous-time systems and their reachability, Int. J. Appl. Math. Comput. Sci, 18, 2, 223. ; Kaczorek T. (2009), Selected Topics in Theory of Fractional Systems. ; Busłowicz M. (2008), Stability of linear continuous-time fractional order systems with delay of the retarded type, Bull. Pol. Ac.: Tech, 56, 4, 319. ; Dzieliński A. (2008), Stability of discrete fractional order state-space systems, J. Vibrations and Control, 14, 9/10, 1543. ; Kaczorek T. (2009), Stability of positive continuous-time systems with delays, Bull. Pol. Ac.: Tech., Bull. Pol. Ac.: Tech, 57, 4, 395. ; Ruszewski A. (2008), Stability regions of closed-loop system with time delay inertial plant of fractional order and fractional order PI controller, Bull. Pol. Ac.: Tech, 56, 4, 329. ; Kaczorek T. (2009), Asymptotic stability of positive fractional 2D linear systems, Bull. Pol. Ac.: Tech, 57, 3, 289. ; Kaczorek T. (2008), Practical stability of positive fractional discretetime linear systems, Bull. Pol. Ac.: Tech, 56, 4, 313. ; J. Tenreiro Machado (2006), Functional dynamics in genetic algorithms, Workshop on Fractional Differentiation and its Application, 1, 439. ; Vinager B. (2002), Fractional order systems and fractional order control actions, null, 1. ; Dzieliński A. (2009), Ultracapacitor parameters identification based on fractional order model, null, 1. ; Radwan A. (2009), On the stability of linear systems with fractional-order elements, Chaos, Solitons and Fractals, 40, 5, 2317.