References
- Basin, M. , Shtessel, Y. , & Aldukali, F. (2016). Continuous finite-and fixed-time high-orders regulators. Journal of the Franklin Institute, 353 (18), 5001–5012.
- Chen, W. , & Jiao, L. C. (2010). Finite-time stability theorem of stochastic nonlinear systems. Automatica, 46 (12), 2105–2108.
- Defoort, M. , Demesure, G. , Zuo, Z. , Polyakov, A. , & Djemai, M. (2016). Fixed-time stabilization and consensus of non-holonomic systems. IET Control Theory & Applications , 10 (18), 2497–2505.
- Ding, X. , Cao, J. , Alsaedi, A. , Alsaadi, F. E. , & Hayat, T. (2017). Robust fixed-time synchronization for uncertain complex-valued neural networks with discontinuous activation functions. Neural Networks, 90 , 42–55.
- Fu, J. , & Wang, J. (2016). Fixed-time coordinated tracking for second-order multi-agent systems with bounded input uncertainties. Systems & Control Letters , 93 , 1–12.
- Gao, F. , & Wu, Y . (2015). Global finite-time stabilization for a class of high-order time-varying non-linear systems with unknown control coefficients. Control and Intelligent Systems, 43 (3), doi:10.2316/Journal.201.2015.3.201-2687.
- Gao, F. , & Wu, Y. (2016). Global finite-time stabilization for a class of stochastic high-order time-varying nonlinear systems. International Journal of Control, 89 (12), 2453–2465.
- Hu, C. , Yu, J. , Chen, Z. , Jiang, H. , & Huang, T. (2017). Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks. Neural Networks, 89 , 74–83.
- Huang, L. (2013). Stochastic stabilization and destabilization of nonlinear differential equations. Systems & Control Letters , 62 (2), 163–169.
- Huang, S. , & Xiang, Z. (2016). Finite-time stabilization of switched stochastic nonlinear systems with mixed odd and even powers. Automatica, 73 , 130–137.
- Khoo, S. , Yin, J. , Man, Z. , & Yu, X. (2013). Finite-time stabilization of stochastic nonlinear systems in strict-feedback form. Automatica, 49 , 1403–1410.
- Levant, A . (2013, December). On fixed and finite time stability in sliding mode control. In Proceedings of the 2013 IEEE 52nd annual conference on decision and control (CDC) (pp. 4260–4265). Firrenze, Italy: IEEE.
- Li, J. , Yang, Y. , Hua, C. , & Guan, X. (2016). Fixed-time backstepping control design for high-order strict-feedback non-linear systems via terminal sliding mode. IET Control Theory & Applications , 11 (8), 1184–1193.
- Li, J. C. , Zhao, G. H. , & Liu, S. J . (2016). Finite-time stabilization for a class of stochastic nonlinear systems with stochastic inverse dynamics. In Control and decision conference (CCDC), Chinese (pp. 2284–2289).
- Liu, L. , Xu, S. , & Zhang, Y. (2017). Finite-time output feedback control for a class of stochastic low-order nonlinear systems. International Journal of Control, 90 (7), 1457–1465.
- Lu, W. , Liu, X. , & Chen, T. (2016). A note on finite-time and fixed-time stability. Neural Networks, 81 , 11–15.
- Meng, X. Z. , (2010). Stabiity of a novel of stochastic epidemic model with double epidemic hypothesis. Appiled Mathematics and Computation, 217 (2), 506–515.
- Ni, J. , Liu, L. , Liu, C. , Hu, X. , & Li, S. (2017). Fast fixed-time nonsingular terminal sliding mode control and its application to chaos suppression in power system. IEEE Transactions on Circuits and Systems II: Express Briefs, 64 (2), 151–155.
- Polyakov, A. (2012). Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Transactions on Automatic Control, 57 (8), 2106–2110.
- Polyakov, A. , Efimov, D. , & Perruquetti, W. (2015). Finite-time and fixed-time stabilization: Implicit Lyapunov function approach. Automatica, 51 , 332–340.
- Qiu, B. , Li, L. , Peng, H. , & Yang, Y. (2017). Fixed-time synchronization for hybrid coupled dynamical networks with multilinks and time-varying delays. Mathematical Problems in Engineering, 1–14.
- Tian, B. , Zuo, Z. , Yan, X. , & Wang, H. (2017). A fixed-time output feedback control scheme for double integrator systems. Automatica, 80 , 17–24.
- Wang, H. , & Zhu, Q. (2015). Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form. Automatica, 54 , 284–291.
- Xie, X. J. , Zhang, X. H. , & Zhang, K. (2016). Finite-time state feedback stabilisation of stochastic high-order nonlinear feedforward systems. International Journal of Control, 89 (7), 1332–1341.
- Yan, Z. & Zhang, W . (2014). Finite-time stability and stabilization of Itô-type stochastic singular systems. In Abstract and applied Analysis, (Vol. 2014). Hindawi.
- Yin, J. , & Khoo, S. (2015). Continuous finite-time state feedback stabilizers for some nonlinear stochastic systems. International Journal of Robust and Nonlinear Control, 25 (11), 1581–1600.
- Yin, J. , Ding, D. , Liu, Z. , & Khoo, S. (2015). Some properties of finite-time stable stochastic nonlinear systems. Applied Mathematics and Computation, 259 , 686–697.
- Yin, J. , Khoo, S. , & Man, Z. (2017). Finite-time stability theorems of homogeneous stochastic nonlinear systems. Systems & Control Letters , 100 , 6–13.
- Yin, J. , Khoo, S. , Man, Z. , & Yu, X. (2011). Finite-time stability and instability of stochastic nonlinear systems. Automatica, 47 (12), 2671–2677.
- Zha, W. , Zhai, J. , Ai, W. , & Fei, S. (2015). Finite-time state-feedback control for a class of stochastic high-order nonlinear systems. International Journal of Computer Mathematics, 92 (3), 643–660.
- Zha, W. , Zhai, J. , Fei, S. , & Wang, Y. (2014). Finite-time stabilization for a class of stochastic nonlinear systems via output feedback. ISA Transactions, 53 (3), 709–716.
- Zhang, X. H. , Zhang, K. , & Xie, X. J. (2016). Finite-time stabilization of stochastic high-order nonlinear systems. Asian Journal of Control, 18 (6), 2244–2255.
- Zhang, Z. , & Wu, Y. (2017). Fixed-time regulation control of uncertain nonholonomic systems and its applications. International Journal of Control, 1327–1344, 90(7).
- Zhuai, J. Y. (2014). Finite-time ouput feedback stablization for stochastic hig-order nonlinear systems. Circuits, Systems, and Signal Processing , 33(12), 3809–3837.
- Zuo, Z. (2015). Nonsingular fixed-time consensus tracking for second-order multi-agent networks. Automatica, 54 , 305–309.
- Zuo, Z., & Tie, L. (2016). Distributed robust finite-time nonlinear consensus protocols for multi-agent systems. International Journal of Systems Science , 47(6), 1366–1375.