Citation: | Wafa Elloumi, Abdellah Benzaouia and Mohamed Chaabane. Delay-dependent Stabilization Conditions of Controlled Positive Continuous-time Systems. International Journal of Automation and Computing, vol. 11, no. 6, pp. 653-660, 2014. https://doi.org/10.1007/s11633-014-0816-3 |
[1] |
W. R. Zhao. Global exponential stability analysis of Cohen- Grossberg neural network with delays. Communications in Nonlinear Science and Numerical Simulation, vol. 13, no. 5, pp. 847-856, 2008.
|
[2] |
J. H. Kim. Note on stability of linear systems with timevarying delay. Automatica, vol. 47, no. 9, pp. 2118-2121, 2011.
|
[3] |
J. J. Batzel, F. Kappel. Time delay in physiological systems: Analyzing and modeling its impact. Mathematical Biosciences, vol. 234, no. 2, pp. 61-74, 2011.
|
[4] |
P. Ramachandran, Y. M. Ram. Stability boundaries of mechanical controlled system with time delay. Mechanical Systems and Signal Processing, vol. 27, no. 2, pp. 523-533, 2012.
|
[5] |
K. Q. Gu, S. I. Niculescu. Survey on recent results in the stability and control of time-delay systems. Journal of Dynamic Systems, Measurement and Control, vol. 125, no. 2, pp. 158-165, 2003.
|
[6] |
X. L. Zhu, G. H. Yang. New results of stability analysis for systems with time-varying delay. International Journal of Robust and Nonlinear Control, vol. 20, no. 5, pp. 596-606, 2010.
|
[7] |
M. J. Park, O. M. Kwon, J. H. Park, S. M. Lee. Simplified stability criteria for fuzzy Markovian jumping Hopfield neural networks of neutral type with interval time-varying delays. Expert Systems with Applications, vol. 39, no. 5, pp. 5625-5633, 2012.
|
[8] |
W. Elloumi,W. Kacem, M. Chaabane, D. Mehdi. Exponential stability criteria for systems with time-varying delays. In Proceedings of the 2nd International Conference on Systems and Control, IEEE, Marrakesh, Morocco, pp. 105-109, 2012.
|
[9] |
L. Farina, S. Rinaldi. Positive Linear Systems: Theory and Applications, New York: Wiley, 2000.
|
[10] |
T. Kaczorek. Positive 1D and 2D Systems, New York: Springer-Verlag, 2001.
|
[11] |
M. Ait Rami, F. Tadeo. Positive observation problem for linear time-lag positive systems. In Proceedings of the 3rd IFAC Symposium on Power System, Structure and Control, Mabu Thermas Convention Center, Brazil, pp. 536-541, 2007.
|
[12] |
S. Q. Zhu, M. Meng, C. H. Zhang. Exponential stability for positive systems with bounded time-varying delays and static output feedback stabilization. Journal of the Franklin Institute, vol. 350, no. 3, pp. 617-636, 2013.
|
[13] |
S. Oucheriah. Synthesis of controllers for time-delay systems subject to actuator saturation and disturbance. Journal of Dynamic Systems, Measurement and Control, vol. 125, no. 2, pp. 244-249, 2003.
|
[14] |
A. Benzaouia, A. Hmamed, F. Tadeo. Stabilization of controlled positive delayed continuous-time systems. International Journal of Systems Sciences, vol. 41, no. 12, pp. 1473-1479, 2010.
|
[15] |
A. Benzaouia, A. El Hajjaji. Delay-dependent stabilization conditions of controlled positive T-S fuzzy systems with time varying. International Journal of Computing Innovation and Control, vol. 7, no. 4, pp. 1533-1548, 2011.
|
[16] |
A. Benzaouia. Saturated Switching Systems, London: Springer, 2012.
|
[17] |
M. Nachidi, F. Tadeo, A. Benzaouia, M. Ait Rami. Static output-feedback for Takagi-Sugeno systems with delays. International Journal of Adaptive Control and Signal Processing, vol. 25, no. 4, pp. 295-312, 2011.
|
[18] |
A. Hmamed, M. Ait Rami, A. Benzaouia, F. Tadeo. Stabilization under constrained states and controls of positive systems with time delays. European Journal of Control, vol. 18, no. 2, pp. 182-190, 2012.
|
[19] |
T. Kaczorek. Realization problem for positive linear systems with time delay. Mathematical Problems in Engineering, vol. 4, no. 4, pp. 455-463, 2005.
|
[20] |
G. M. Xie, L.Wang. Reachability and controllability of positive linear discrete-time systems with time-delays. In Proceedings of the 1st Multidisciplinary International Symposium on Positive Systems: Theory and Applications, Lecture Notes in Control and Information Science, Springer Verlag: Rome, Italy, pp. 377-384, 2003.
|
[21] |
M. Bolajraf. Robust Control and Estimation for Positive Sstems, Ph. D. dissertation, University of Valladolid, Spain, 2012.
|
[22] |
V. N. Phat, Y. Khongthamb, K. Ratchagit. LMI approach to exponential stability of linear systems with interval timevarying delays. Linear Algebra and Applications, vol. 436, no. 1, pp. 243-251, 2011.
|
[23] |
T. Botmart, P. Niamsup. Robust exponential stability and stabilizability of linear parameter dependent systems with delays. Applied Mathematics and Computation, vol. 217, no. 6, pp. 2551-2566, 2010.
|
[24] |
V. Chellaboina, W. M. Haddad, J. Ramakrishnan, J. M. Bailey. On monotonicity of solutions of nonnegative and compartmental dynamical systems with time delays. In Proceedings of the 42nd Conference on Decision and Control, IEEE, Hawaii, USA, pp. 4008-4013, 2003.
|
[25] |
M. Araki. Application of M-matrices to the stability problems of composite dynamical systems. Journal of Mathematical Analysis and Applications, vol. 52, no. 2, pp. 309-321, 1975.
|