Title

Positive fractional continuous-time linear systems with singular pencils

Journal title

Bulletin of the Polish Academy of Sciences Technical Sciences

Yearbook

2012

Volume

60

Issue

No 1

Authors

Kaczorek, T.

Divisions of PAS

Nauki Techniczne

Coverage

9-12

Date

2012

Identifier

DOI: 10.2478/v10175-012-0002-0 ; ISSN 2300-1917

Source

Bulletin of the Polish Academy of Sciences: Technical Sciences; 2012; 60; No 1; 9-12

References

Commalut C. (2006), Positive Systems, 341, doi.org/10.1007/3-540-34774-7 ; Kaczorek T. (2002), Positive 1D and 2D Systems, doi.org/10.1007/978-1-4471-0221-2 ; Farina L. (2000), Positive Linear Systems, doi.org/10.1002/9781118033029 ; Campbell S. (1980), Singular Systems of Differential Equations, 40. ; Campbell S. (1976), Applications of the Drazin inverse to linear systems of differential equations with singular constructions, SIAMJ Appl. Math, 31, 3, 411, doi.org/10.1137/0131035 ; Drazin M. (1958), Pseudo-inverses in associative rings and semi-groups, Amer. Math. Monthly, 65, 506, doi.org/10.2307/2308576 ; Dai L. (1989), Singular Control Systems, 118, doi.org/10.1007/BFb0002475 ; Kaczorek T. (1992), Linear Control Systems, 1. ; Bru R. (2003), Some problems about structural properties of positive descriptor systems, Lecture Notes in Control and Inform. Sci, 294, 233, doi.org/10.1007/978-3-540-44928-7_32 ; Bru R. (2000), About positively discrete-time singular systems, System and Control: Theory and Applications, Electr. Comput. Eng. Ser., World Sci. Eng. Soc. Press, 1, 44. ; Bru R. (2002), Structural properties of positive linear time-invariant difference-algebraic equations, Linear Algebra Appl, 349, 1, doi.org/10.1016/S0024-3795(02)00277-X ; Kaczorek T. (2011), Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm, Archives of Control Sciences, 21, doi.org/10.2478/v10170-010-0044-1 ; Kaczorek T. (2011), Singular fractional linear systems and electrical circuits, Int. J. Appl. Math. Comput. Sci, 21, 2, 379, doi.org/10.2478/v10006-011-0028-8 ; Virnik E. (2008), Stability analysis of positive descriptor systems, Linear Algebra and its Applications, 429, 2640, doi.org/10.1016/j.laa.2008.03.002 ; Kaczorek T. (2011), Selected Problems of Fractional System Theory, doi.org/10.1007/978-3-642-20502-6 ; Kaczorek T. (2011), Positive fractional 2D continuous-discrete linear systems, Bull. Pol. Ac.: Tech, 59, 4, 575. ; Kaczorek T. (2010), Stability and stabilization of positive fractional systems by state-feedbacks, Bull. Pol. Ac.: Tech, 58, 4, 537.