On the external positivity of linear time-invariant dynamic systems

IEEE Transactions on Circuits and Systems II: Express Briefs

Volumn 55, Issue 2, 2008, Pages 188-192

  De La Sen, Manuel ^a  

^a UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

Author keywords

Dynamic systems; External positivity; Post Laplace inversion formula

Indexed keywords

DYNAMICAL SYSTEMS; LAPLACE TRANSFORMS;

CONTINUOUS-TIME DYNAMICS; EXTERNAL POSITIVITY; GENERAL METHOD; LAPLACE INVERSIONS; LINEAR TIME INVARIANT;

CONTINUOUS TIME SYSTEMS;

EID: 64849104551     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2007.911818     Document Type: Article

References (11)

1. T. Kaczorek, Positive 1-D and 2-D Systems. London, U.K.: Springer-Verlag, 2002.
2. M. De la Sen, "On positivity and stability of a class of time-delay systems," Nonlinear Anal. Real Word Appl., vol. 8, no. 3, pp. 749-768, Jul. 2007.
3. J. Gregor, "On the design of positive real functions," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 43, no. 11, pp. 945-947, Nov. 1996.
4. H. J. Marquez and C. J. Damaren, "On the design of strictly positive real transfer functions," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 42, no. 4, pp. 214-218, Apr. 1996.
5. M. De la Sen, "A method for general design of positive real functions," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 45, no. 7, pp. 764-769, Jul. 1998.
6. M. De la Sen, "Preserving positive realness through discretization," Positivity, vol. 6, no. 1, pp. 31-45, 2002.
7. A. Al-Shuaibi, "Inversion of the Laplace transform via Post-Widder formula," Integr.Transform. Special Funct., vol. 11-3, pp. 225-232, 2001.
8. C. Y. Yang, Q. Zhang, Y. Lin, and L. Zhou, "Positive realness and absolute stability problem of descriptor," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 54, no. 5, pp. 1142-1149, May 2007.
9. M. A. Rami and F. Tadeo, "Controller synthesis for positive linear systems with bounded controls," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 54, no. 2, pp. 151-155, Feb. 2007.
10. R. Canto, B. Ricarte, and A. M. Urbano, "Positive realizations of transfer matrices with real poles," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 54, no. 6, pp. 517-521, Jun. 2007.
11. B. Liu and X. Z. Liu, "Robust stability of uncertain discrete impulsive systems," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 54, no. 5, pp. 455-459, May 2007.