Stability analysis and synthesis for linear positive systems with time-varying delays

Lecture Notes in Control and Information Sciences

Volumn 389, Issue , 2009, Pages 205-215

  Ait Rami, Mustapha ^a  

^a UNIVERSITY OF VALLADOLID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

FIELD OF STABILITY; LYAPUNOV THEORIES; POSITIVE SYSTEMS; STABILITY ANALYSIS; STABILITY AND STABILIZATIONS; TIME-VARYING DELAY;

ASYMPTOTIC STABILITY; STABILIZATION;

TIME VARYING CONTROL SYSTEMS;

EID: 80053065709     PISSN: 01708643     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-02894-6_20     Document Type: Conference Paper

References (23)

1. Ait Rami, M., Tadeo, F.: Controller Synthesis for Linear Systems to Impose Positiveness in Closed-Loop States. In: Proceedings of the IFAC World Congress, Prague (2005)
2. Ait Rami, M., Tadeo, F.: Positive observation for positive discrete linear systems. In: IEEE CDC (2006)
3. Ait Rami, M., Tadeo, F.: Linear programming approach to impose positiveness in closed-loop and estimated states. In: Proceedings Sixteenth International Symposium on Mathematical Theory of Networks and Systems, Kyoto, Japan (2006)
4. Ait Rami, M., Tadeo, F.: Controller Synthesis for Positive Linear Systems with Bounded controls. IEEE Trans. on Circuits and Sys. II 54, 151-155 (2007)
5. Ait Rami, M., Cheng, C.H., de Prada, C.: Tight robust interval observers: an LP approach. In: IEEE CDC (2008)
6. Ait Rami, M., Helmke, U., Tadeo, F.: Positive observation problem for time-delays linear positive systems. In: Proceedings of the 15th IEEE Med. conf., Athens (2007)
7. Ait Rami, M., Helmke, U., Tadeo, F.: Positive observation problem for linear time-lag positive systems. In: The 3rd IFAC Symposium on System, Structure & Control, Foz do Iguau, Brazil (2007)
8. Ait Rami, M., Hmamed, A., Alfidi, M.: L1 stability and stabilization of positive 2D con-tineous systems. Syst. and Control Letters (2008) (accepted)
9. Ait Rami, M., Tadeo, F., Benzaouia, A.: Control of constrained positive discrete systems. In: Proceedings of the American Control Conf., New York (2007)
10. Berman, A., Plemmon, R.J.: Nonnegative matrices in the mathematical sciences. SIAM Classics Appl. Maths (1994)
11. Berman, A., Neumann, M., Stern, R.J.: Nonnegative Matrices in Dynamic Systems. Wiley, New York (1989)
12. Farina, L., Rinaldi, S.: Positive Linear Systems: Theory and Applications. Wiley, New York (2000)
13. Haddad, W.M., Chellaboina, V.: Stability theory for nonegative and compartmental dynamical systems with time delay. Syst. and Control Letters 51, 355-361 (2004)
14. Hale, J.K.: Theory of Functional Differential Equations. Springer, New York (1977)
15. Hmamed, A., Ait Rami, M., Afidi, M.: Controller synthesis for positive 2D systems described by the Roesser model. In: IEEE CDC (2008)
16. Hmamed, A., Benzaouia, A., Ait Rami, M., Tadeo, F.: Positive stabilization of discrete-time systems with unknown delay and bounded controls. In: European Control Conference, Kos, Greece (2007)
17. Hmamed, A., Benzaouia, A., Ait Rami, M., Tadeo, F.: Memoryless control to drive states of delayed continuous-time systems within the nonnegative orthant. In: Proceedings of the 17th World Congress, Seoul, Korea (2008)
18. Horn, R., Johnson, C.: Topics in Matrix Analysis. Cambridge Univ. Press, Cambridge (1991)
19. Kaczorek, T.: Positive 1D and 2D Systems. Springer, UK (2001)
20. Lewis, R.M., Anderson, B.D.O.: Insensitivity of a class of Nonlinear Compartmen-tal Systems to the Introduction of Arbitrary Time Delays. IEEE Trans. on Circuit and Sys. 27, 604-612 (1980)
21. Lewis, R.M., Anderson, B.D.O.: Necessary and Sufficient Condition for Delay-Independent Stability of Linear Autonomous Systems. IEEE Trans. Aut. Contr. 25, 735- 739 (1980)
22. Luenberger, D.G.: Introduction to Dynamic Systems. Wiley, New York (1979)
23. Ohta, Y.: Stability Criteria for Off-Diagonally Monotone Nonlinear Dynamical Systems. IEEE Trans. on Circuit and Sys. 27, 956-962 (1980)