Title

Positivity of descriptor linear systems with regular pencils

Journal title

Archives of Electrical Engineering

Yearbook

2012

Volume

vol. 61

Issue

No 1 March

Authors

Kaczorek, Tadeusz

Keywords

descriptor ; continuous-time ; discrete-time ; linear ; positivity ; regular pencil

Divisions of PAS

Nauki Techniczne

Coverage

101-113

Publisher

Polish Academy of Sciences

Date

2012

Type

Artykuły / Articles

Identifier

DOI: 10.2478/v10171-012-0009-z ; ISSN: 1427-4221 ; eISSN: 2300-2506

Source

Archives of Electrical Engineering; 2012; vol. 61; No 1 March; 101-113

References

Dodig M. (2009), Singular systems state feedbacks problems, Linear Algebra and its Applications, 431, 8, 1267, doi.org/10.1016/j.laa.2009.04.024 ; Dai L. (1989), Singular Control Systems, Lectures Notes in Control and Information Sciences. ; Fahmy M. (1989), Matrix pencil of closed-loop descriptor systems: infinite-eigenvalues assignment, Int. J. Control, 49, 4, 1421. ; Gantmacher F. (1960), The Theory of Matrices. ; Kaczorek T. (2008), Fractional positive continuous-time linear systems and their reachability, Int. J. Appl. Math. Comput. Sci, 18, 2, 223, doi.org/10.2478/v10006-008-0020-0 ; Kaczorek T. (2004), Infinite eigenvalue assignment by output-feedbacks for singular systems, Int. J. Appl. Math. Comput. Sci, 14, 1, 19. ; Kaczorek T. (1992), Linear Control Systems, 1. ; Kaczorek T. (2007), Polynomial and Rational Matrices. Applications in Dynamical Systems Theory. ; Kaczorek T. (2010), Positive linear systems with different fractional orders, Bull. Pol. Ac. Sci. Techn, 58, 3, 453. ; Kaczorek T. (2007), Realization problem for singular positive continuous-time systems with delays, Control and Cybernetics, 36, 1, 47. ; Kaczorek T. (2011), Selected Problems of Fractional Systems Theory, doi.org/10.1007/978-3-642-20502-6 ; Kaczorek T. (2012), Checking of the positivity of descriptor linear systems by the use of shuffle algorithm, Archives of Control Sciences. ; Kaczorek T. (2011), Positivity and reachability of fractional electrical circuits, Acta Mechanica et Automatica, 3, 1, 42. ; Kaczorek T. (2011), Reduction and decomposition of singular fractional discrete-time linear systems, Acta Mechanica et Automatica, 5, 4. ; Kaczorek T. (2011), Singular fractional discrete-time linear systems, Control and Cybernetics, 40, 3. ; 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 ; Kaczorek T. (2002), Positive 1D and 2D Systems, doi.org/10.1007/978-1-4471-0221-2 ; Kucera V. (1988), Fundamental theorem of state feedback for singular systems, Automatica, 24, 5, 653, doi.org/10.1016/0005-1098(88)90112-4 ; Luenberger D. (1978), Time-invariant descriptor systems, Automatica, 14, 473, doi.org/10.1016/0005-1098(78)90006-7 ; Podlubny I. (1999), Fractional Differential Equations. ; P. Van Dooren (1979), The computation of Kronecker's canonical form of a singular pencil, Linear Algebra and Its Applications, 27, 103, doi.org/10.1016/0024-3795(79)90035-1