References
- Amato, F., Ambrosino, R., Ariola, M., & Cosentino, C. (2009). Finite-time stability of linear time-varying systems with jumps. Automatica, 45(5), 1354–10. https://doi.org/10.1016/j.automatica.2008.12.016
- Amato, F., Ambrosino, R., Ariola, M., Cosentino, C., & De Tommasi, G. (2014). Finite-time Stability and Control (Vol. 453). Springer.
- Amato, F., & Ariola, M. (2005). Finite-time control of discrete-time linear systems. IEEE Transactions on Automatic Control, 50(5), 724–729. https://doi.org/10.1109/TAC.2005.847042
- Amato, F., Ariola, M., Carbone, M., & Cosentino, C. (2005). Finite-time output feedback control of discrete-time systems. Proceedings of 16th Triennial IFAC World Congress, 38(1), 514–519. https://doi.org/10.3182/20050703-6-CZ-1902.00486
- Amato, F., Ariola, M., & Cosentino, C. (2010a). Finite-time control of discrete-time linear systems: Analysis and design conditions. Automatica, 46(5), 919–924. https://doi.org/10.1016/j.automatica.2010.02.008
- Amato, F., Ariola, M., & Cosentino, C. (2010b). Finite-time stability of linear time-varying systems: Analysis and controller design. IEEE Transactions on Automatic Control, 55(4), 1003–1008. https://doi.org/10.1109/TAC.2010.2041680
- Bapat, R. B., Raghavan, T., & Bapat, R. B. (1997). Non-negative Matrices and Applications (Vol. 64). Cambridge University Press.
- Dorato, P. (1961). Short-time stability in linear time-varying systems (Technical Report). Polytechnic Inst of Brookklyn NY Microwave Research Institute.
- Ebihara, Y., Zhu, B., & Lam, J. (2020). The Lq/Lp Hankel norms of positive systems. IEEE Control Systems Letters, 4(2), 462–467. https://doi.org/10.1109/LCSYS.2019.2952622
- Farina, L., & Rinaldi, S. (2011). Positive Linear Systems: Theory and Applications (Vol. 50). John Wiley & Sons.
- Haddad, W. M., Chellaboina, V., & Hui, Q. (2010). Non-negative and Compartmental Dynamical Systems. Princeton University Press.
- Hong, M. T. (2019). An optimization approach to static output-feedback control of lti positive systems with delayed measurements. Journal of the Franklin Institute, 356(10), 5087–5103. https://doi.org/10.1016/j.jfranklin.2019.05.001
- Kaczorek, T. (2015). Positivity and stability of time-varying discrete-time linear systems. Proceedings of Asian conference on intelligent information and database systems (pp. 295–303). Springer.
- Kamenkov, G. (1953). On stability of motion over a finite interval of time. Journal of Applied Mathematics and Mechanics, 17(2), 529–540. https://doi.org/10.1016/0021-8928(68)90027-0
- Lebedev, A. (1954). The problem of stability in a finite interval of time. Journal of Applied Mathematics and Mechanics, 18(1), 75–94.
- Liu, J. J. R., Lam, J., & Shu, Z. (2020). Positivity-preserving consensus of homogeneous multiagent systems. IEEE Transactions on Automatic Control, 65(6), 2724–2729. https://doi.org/10.1109/TAC.2019.2946205
- Liu, L.-J., Karimi, H. R., & Zhao, X. (2018). New approaches to positive observer design for discrete-time positive linear systems. Journal of the Franklin Institute, 355(10), 4336–4350. https://doi.org/10.1016/j.jfranklin.2018.04.015
- Mirabdollahi, S., & Haeri, M. (2019). Multi-agent system finite-time consensus control in the presence of disturbance and input saturation by using of adaptive terminal sliding mode method. Cogent Engineering, 6(1), 1698689. https://doi.org/10.1080/23311916.2019.1698689
- Ogura, M., Kishida, M., & Lam, J. (2019). Geometric programming for optimal positive linear systems. IEEE Transactions on Automatic Control. https://doi.org/10.1109/TAC.2019.2960697
- Phat, V. N., & Sau, N. H. (2018). Exponential stabilisation of positive singular linear discrete-time delay systems with bounded control. IET Control Theory & Applications, 13(7), 905–911. https://doi.org/10.1049/iet-cta.2018.5150
- Ren, H., Zong, G., & Li, T. (2018). Event-triggered finite-time control for networked switched linear systems with asynchronous switching. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 48(11), 1874–1884. https://doi.org/10.1109/TSMC.2017.2789186
- Shang, H., Qi, W., & Zong, G. (2019). Finite-time asynchronous control for positive discrete-time markovian jump systems. IET Control Theory & Applications, 13(7), 935–942. https://doi.org/10.1049/iet-cta.2018.5268
- Song, J., Niu, Y., & Wang, S. (2017). Robust finite-time dissipative control subject to randomly occurring uncertainties and stochastic fading measurements. Journal of the Franklin Institute, 354(9), 3706–3723. https://doi.org/10.1016/j.jfranklin.2016.07.020
- Song, J., Niu, Y., & Zou, Y. (2016). Finite-time sliding mode control synthesis under explicit output constraint. Automatica, 65, 111–114. https://doi.org/10.1016/j.automatica.2015.11.037
- Wang, C., & Zhao, Y. (2019). Performance analysis and control of fractional-order positive systems. IET Control Theory & Applications, 13(7), 928–934. https://doi.org/10.1049/iet-cta.2018.5225
- Wang, P., & Zhao, J. (2020). Stability and guaranteed cost analysis of switched positive systems with mode-dependent dwell time and sampling. IET Control Theory & Applications, 14(3), 378–385. https://doi.org/10.1049/iet-cta.2019.0466
- Wu, H., Lam, J., & Su, H. (2019). Global consensus of positive edge system with sector input nonlinearities. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 1–10. https://doi.org/10.1109/TSMC.2019.2931411
- Xie, X., Lam, J., & Li, P. (2017). Finite-time H∞ control of periodic piecewise linear systems. International Journal of Systems Science, 48(11), 2333–2344. https://doi.org/10.1080/00207721.2017.1316884
- Xue, W., & Li, K. (2015). Positive finite-time stabilization for discrete-time linear systems. Journal of Dynamic Systems, Measurement, and Control, 137(1), 014502. https://doi.org/10.1115/1.4028141
- Yang, H., Zhang, J., Jia, X., & Li, S. (2019). Non-fragile control of positive Markovian jump systems. Journal of the Franklin Institute, 356(5), 2742–2758. https://doi.org/10.1016/j.jfranklin.2019.02.008
- Zhu, S., Wang, B., & Zhang, C. (2017). Delay-dependent stochastic finite-time l1 -gain filtering for discrete-time positive Markov jump linear systems with time-delay. Journal of the Franklin Institute, 354(15), 6894–6913. https://doi.org/10.1016/j.jfranklin.2017.07.008
- Zong, G., Yang, D., Hou, L., & Wang, Q. (2013). Robust finite-time H∞ control for Markovian jump systems with partially known transition probabilities. Journal of the Franklin Institute, 350(6), 1562–1578. https://doi.org/10.1016/j.jfranklin.2013.04.003