References
- Araki, M. (1975). Application of m-matrices to the stability problems of composite dynamical systems, Journal of Mathematical Analysis and Applications 52(2): 309-321.
- Bolajraf, M. (2012). Robust Control and Estimation for Positive Systems, Valladolid University, Valladolid.
- Chen, X., Chen, M. and Shen, J. (2017). A novel approach to l1-induced controller synthesis for positive systems with interval uncertainties, Journal of The Franklin Institute 354(8): 3364-3377.
- Elloumi, W., Mehdi, D., Chaabane, M. and Hashim, G. (2015). Exponential stability criteria for positive systems with time-varying delay: A delay decomposition technique, Circuits, Systems and Signal Processing 35(5): 1545-1561.
- Farina, L. and Rinaldi, S. (2000). Positive Linear Systems: Theory and Applications, Wiley, New York, NY.
- Hale, J. and Lunel, S.M.V. (1993). Introduction to Functional Differential Equations, Springer, New York, NY.
- Hmamed, A., Rami, M.A., Benzaouia, A. and Tadeo, F. (2012). Stabilization under constrained states and controls of positive systems with time delays, Mechanical Systems and Signal Processing 18(2): 182-190.
- Junfeng, Z., Xianglei, J., Ridong, Z. and Shizhou, F. (2017). Parameter-dependent Lyapunov function based model predictive control for positive systems and its application in urban water management, Control Conference (CCC), Dalian, China.
- Kaczorek, T. (2014). Minimum energy control of fractional positive continuous-time linear systems with bounded inputs, International Journal of Applied Mathematics and Computer Science 24(2): 335-340, DOI: 10.2478/amcs-2014-0025.10.2478/amcs-2014-0025
- Kaczorek, T. (2016). Positivity and stability of fractional descriptor time-varying discrete-time linear systems, International Journal of Applied Mathematics and Computer Science 26(1): 5-13, DOI: 10.1515/amcs-2016-0001.10.1515/amcs-2016-0001
- Luenberger, D.G. (1976). Introduction to Dynamic Systems: Theory, Models and Applications, Academic Press, New York, NY.
- Mesquine, F., Hmamed, A., Benhayoun, M., Benzaouiaa, A.and Tadeo, F. (2015). Robust stabilization of constrained uncertain continuous-time fractional positive systems, Journal of The Franklin Institute 352(1): 259-270.
- Rami, M.A. (2011). Solvability of static output-feedback stabilization for LTI positive systems, Systems & Control Letters 60(9): 704-708.
- Rami, M.A., Tadeo, F. and Benzaouia, A. (2007). Control of constrained positive discrete systems, Proceedings of the American Control Conference, New York, NY, USA, pp. 5851-5856.
- Shorten, R., Wirth, F. and Leith, D. (2006). A positive systems model of TCP-like congestion control: Asymptotic results, IEEE Transactions on Networking 14(2): 616-629.
- Shuqian, Z., Han, Q.-L. and Zhang, C. (2014). l1-gain performance analysis and positive filter design for positive discrete-time Markov jump linear systems: A linear programming approach, Automatica 50(8): 2098-2107.
- Zaidi, I. (2015). Robust Stabilization and Observation for Positive Takagi-Sugeno systems, PhD thesis, Valladolid University, Valladolid.
- Zaidi, I., Chaabane, M., Tadeo, F. and Benzaouia, A. (2014). Static state feedback controller and observer design for interval positive systems with time-delay, IEEE Transactions on Circuits and Systems II 62(5): 506-510.
- Zhang, Z. and Yang, H. (2013). Stability and Hopf bifurcation in a three-species food chain system with harvesting and two delays, Journal of Computational and Nonlinear Dynamics 9(2), Paper no.: CND-12-1233.
- Zhu, S., Han, Q.-L. and Zhang, C. (2016). Investigating the effects of time-delays on stochastic stability and designing l1-gain controllers for positive discrete-time Markov jump linear systems with time-delay, Information Sciences 355(C): 265-281.
- Zhu, S., Han, Q.-L. and Zhang, C. (2017). l1-Stochastic stability and l1-gain performance of positive Markov jump linear systems with time-delays: Necessary and sufficient conditions, IEEE Transactions on Automatic Control 62(7): 3634-3639.
- Zhu, S., Meng, M. and Zhang, C. (2013). Exponential stability for positive systems with bounded time-varying delays and static output feedback stabilization, Journal of The Franklin Institute 350(3): 617-636.