Global finite-time stabilisation for a class of stochastic high-order time-varying nonlinear systems

References

• Chen, W., Wu, J., & Jiao, L. (2012). State-feedback stabilization for a class of stochastic time-delay nonlinear systems. International Journal of Robust and Nonlinear Control, 22, 1921–1937.
   Web of Science ®Google Scholar
• Deng, H., & Krstic, M. (2000). Output-feedback stabilization of stochastic nonlinear systems driven by noise of unknown covariance. Systems & Control Letters, 39, 173–182.
   Web of Science ®Google Scholar
• Deng, H., Krstic, & Williams, R., (2001). Stabilization of stochastic nonlinear systems driven by noise of unknown covariance. IEEE Transactions on Automatic Control, 46, 1237–1253.
   Web of Science ®Google Scholar
• Gao, F., & Yuan, F. (2013). Adaptive stabilization of stochastic nonholonomic systems with nonlinear parameterization. Applied Mathematics and Computation, 219, 8676–8686.
   Web of Science ®Google Scholar
• Gao, F., Yuan, F., & Wu, Y. (2012). State-feedback stabilisation for stochastic non-holonomic systems with time-varying delays. IET Control Theory & Applications, 6, 2593–2600.
   Web of Science ®Google Scholar
• Gao, F., Yuan, F., & Wu, Y. (2014). Adaptive stabilization for a class of stochastic nonlinearly parameterized nonholonomic systems with unknown control coefficients. Asian Journal of Control, 16, 1829–1838.
   Web of Science ®Google Scholar
• Has’minskii, R. (1980). Stochastic stability of differential equations. Alphen aan den Rijn: Sijthoff & Noordhoff.
   Google Scholar
• Hong, Y., Wang, J., & Cheng, D. (2006). Adaptive finite-time control of nonlinear systems with parametric uncertainty. IEEE Transactions on Automatic Control, 51, 858–862.
   Web of Science ®Google Scholar
• Huang, X., Lin, W., & Yang, B. (2005). Global finite-time stabilization of a class of uncertain nonlinear systems. Automatica, 41, 881–888.
   Web of Science ®Google Scholar
• Khalil, H. (2002). Nonlinear systems. New Jersey, NJ: Prentice Hall.
   Google Scholar
• Khoo, S., Yin, J., Man, Z., & Yu, X. (2013). Finite-time stabilization of stochastic nonlinear systems in strict-feedback form. Automatica, 49, 1403–1410.
   Web of Science ®Google Scholar
• Lan, Q., Li, S., Khoo, S., & Shi, P. (2015). Global finite-time stabilization for a class of stochastic nonlinear systems by output feedback. International Journal of Control, 88, 494–506.
   Web of Science ®Google Scholar
• Li, F., & Liu, Y. (2014). Global stability and stabilization of more general stochastic nonlinear systems. Journal of Mathematical Analysis and Applications, 413, 841–855.
   Web of Science ®Google Scholar
• Li, J., Chen, W., & Li, J. (2011). Adaptive NN output-feedback decentralized stabilization for a class of large-scale stochastic nonlinear strict-feedback systems. International Journal of Robust and Nonlinear Control, 21, 452–472.
   Web of Science ®Google Scholar
• Li, W., Liu, X., & Zhang, S. (2012). Further results on adaptive state-feedback stabilization for stochastic high-order nonlinear systems. Automatica, 48, 1667–1675.
   Web of Science ®Google Scholar
• Li, W., Xie, X., & Zhang, S. (2011). Output feeback stabilization of stochastic high-order nonlinear systems under weaker conditions. SIAM Journal on Control and Optimization, 49, 1262–1282.
   Web of Science ®Google Scholar
• Lin, W., & Qian, C. (2000). Adding one power integrator: a tool for global stabilization of high order lower-triangular systems. Systems & Control Letters, 39, 339–351.
   Web of Science ®Google Scholar
• Liu, S., Jiang, Z., Zhang, J. (2008). Global output-feedback stabilization for a class of stochastic non-minimumphase nonlinear systems. Automatica, 44, 1944–1957.
   Web of Science ®Google Scholar
• Liu, Y. (2014). Global finite-time stabilization via time-varying feedback for uncertain nonlinear systems. SIAM Journal on Control and Optimization, 52, 1886-1913.
   Web of Science ®Google Scholar
• Liu, Y., Pan, Z., & Shi, S. (2003). Output feedback control design for strict-feedback stochastic nonlinear systems under a risk-sensitive cost. IEEE Transactions on Automatic Control, 48, 509–514.
   Web of Science ®Google Scholar
• Liu, Y., & Zhang, J. (2006). Practical output-feedback risk-sensitive control for stochastic nonlinear systems with stable zerodynamics. SIAM Journal on Control and Optimization, 45, 885–926.
   Web of Science ®Google Scholar
• Qian, C., & Lin, W. (2001). Non-Lipschitz continuous stabilizers for nonlinear systems with uncontrollable unstable linearization. Systems & Control Letters, 42, 185–200.
   Web of Science ®Google Scholar
• Wang, H., & Zhu, Q. (2015). Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form. Automatica, 54, 284–291.
   Web of Science ®Google Scholar
• Xie, X., & Duan, N. (2010). Output tracking of high-order stochastic nonlinear systems with application to benchmark mechanical system. IEEE Transactions on Automatic Control, 55, 1197–1202.
   Web of Science ®Google Scholar
• Xie, X., Duan, N., & Yu, X. (2011). State-feedback control of high-order stochastic nonlinear systems with SiISS inverse dynamics. IEEE Transactions on Automatic Control, 56, 1921–1926.
   Web of Science ®Google Scholar
• Xie, X., Duan, N., & Zhao, C. (2014). A combined homogeneous domination and sign function approach to output-feedback stabilization of stochastic high-order nonlinear systems. IEEE Transactions on Automatic Control, 59, 1303–1309.
   Web of Science ®Google Scholar
• Xie, X., & Tian, J. (2007). State-feedback stabilization for high-order stochastic nonlinear systems with stochastic inverse dynamics. International Journal of Robust and Nonlinear Control, 17, 1343–1362.
   Web of Science ®Google Scholar
• Xie, X., & Tian, J. (2009). Adaptive state-feedback stabilization of high-order stochastic systems with nonlinear parameterization. Automatica, 45, 126–133.
   Web of Science ®Google Scholar
• Yin, J., & Khoo, S. (2015). Continuous finite-time state feedback stabilizers for some nonlinear stochastic systems. International Journal of Robust and Nonlinear Control, 25, 1581–1600.
   Web of Science ®Google Scholar
• Yin, J., Khoo, S., Man, Z., & Yu, X. (2011). Finite-time stability and instability of stochastic nonlinear systems. Automatica, 47, 2671–2677.
   Web of Science ®Google Scholar
• Yu, X., & Xie, X. (2010). Output feedback regulation of stochastic nonlinear systems with stochastic iISS inverse dynamics. IEEE Transactions on Automatic Control, 55, 304–320.
   Web of Science ®Google Scholar
• Yu, X., Xie, X., & Duan, N. (2010). Small-gain control method for stochastic nonlinear systems with stochastic iISS inverse dynamics. Automatica, 46, 1790-1798.
   Web of Science ®Google Scholar
• 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, 643–660.
   Web of Science ®Google Scholar
• Zha, W., Zhai, J., Fei, S., & Wang, Y. (2014). Finite-time stabilization for a class of stochastic nonlinear systems via output feedback. ISA Transations, 53, 709–716.
   PubMed Web of Science ®Google Scholar
• Zhai, J. (2015). Finite-time output feedback stabilization for stochastic high-order nonlinear systems. Circuits, Systems, and Signal Processing, 33, 3809–3837.
   Web of Science ®Google Scholar
• Zhang, J., & Liu, Y. (2012). Nonsmooth adaptive control design for a large class of uncertain high-order stochastic nonlinear systems. Mathematical Problems in Engineering, 2012, 1–21.
   Web of Science ®Google Scholar
• Zhang, J., & Liu, Y. (2013). Continuous output-feedback stabilization for a class of stochastic high-order nonlinear systems. Journal of Control Theory and Applications, 11, 343–350.
   Google Scholar
• Zhang, J., Liu, Y., & Mu, X. (2015). Further results on global adaptive stabilisation for a class of uncertain stochastic nonlinear systems. International Journal of Control, 88, 441–450.
   Web of Science ®Google Scholar
• Zhang, X., & Xie, X. (2014). Global state feedback stabilisation of nonlinear systems with high-order and low-order nonlinearities. International Journal of Control, 87, 642–652.
   Web of Science ®Google Scholar