Title

Checking of the positivity of descriptor linear systems with singular pencils

Journal title

Archives of Control Sciences

Yearbook

2012

Issue

No 1

Authors

Kaczorek, Tadeusz

Divisions of PAS

Nauki Techniczne

Publisher

Committee of Automatic Control and Robotics PAS

Date

2012

Identifier

DOI: 10.2478/v10170-011-0013-3 ; ISSN 1230-2384

Source

Archives of Control Sciences; 2012; No 1

References

Bru R. (2003), Lecture Notes in Control and Inform. Sci, 294, 233. ; Bru R. (2000), Electr. Comput. Eng. Ser, 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 ; 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 constant coefficients, SIAMJ Appl. Math, 31, 3, 411, doi.org/10.1137/0131035 ; (2006), Positive Systems. Lecture Notes in Control and Inform. Sci. ; Dai L. (1989), Singular Control Systems. Lecture Notes in Control and Inform. Sci. ; Drazin M. (1958), Pseudo-inverses in associative rings and semigroups, Amer. Math. Monthly, 65, 506, doi.org/10.2307/2308576 ; Farina L. (2000), Positive Linear Systems, doi.org/10.1002/9781118033029 ; Kaczorek T. (2002), Positive 1D and 2D Systems, doi.org/10.1007/978-1-4471-0221-2 ; Kaczorek T. (1992), Linear Control Systems. 1 Research Studies Press and J. ; Kaczorek T. (2011), Selected Problems of Fractional System. Theory, doi.org/10.1007/978-3-642-20502-6 ; Kaczorek T. (2011), Checking of the positivity of descriptor linear systems by the use of the shuffle algorithm, Archives of Control Sciences, 21, 3, 287, doi.org/10.2478/v10170-010-0044-1 ; 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