Technical communique: Finite-time stability theorem of stochastic nonlinear systems

作者: Weisheng Chen , L.C. Jiao

DOI: 10.1016/J.AUTOMATICA.2010.08.009

关键词:

摘要: … concept of finite-time stability, called stochastically finite-time attractiveness, is defined for a class of stochastic nonlinear systems … The settling time function is a stochastic variable and its …

参考文章(26)
E. P. Ryan, Finite-time stabilization of uncertain nonlinear planar systems Dynamics and Control. ,vol. 1, pp. 83- 94 ,(1991) , 10.1007/BF02169426
Sanjay P. Bhat, Dennis S. Bernstein, Finite-Time Stability of Continuous Autonomous Systems Siam Journal on Control and Optimization. ,vol. 38, pp. 751- 766 ,(2000) , 10.1137/S0363012997321358
F. Amato, M. Ariola, Finite-time control of discrete-time linear systems IEEE Transactions on Automatic Control. ,vol. 50, pp. 724- 729 ,(2005) , 10.1109/TAC.2005.847042
Francesco Amato, Marco Ariola, Carlo Cosentino, Finite-time stabilization via dynamic output feedback Automatica. ,vol. 42, pp. 337- 342 ,(2006) , 10.1016/J.AUTOMATICA.2005.09.007
Sergey G. Nersesov, Wassim M. Haddad, Finite-time stabilization of nonlinear impulsive dynamical systems☆ Nonlinear Analysis: Hybrid Systems. ,vol. 2, pp. 832- 845 ,(2008) , 10.1016/J.NAHS.2007.12.001
E. Moulay, W. Perruquetti, Finite time stability conditions for non-autonomous continuous systems International Journal of Control. ,vol. 81, pp. 797- 803 ,(2008) , 10.1080/00207170701650303
V. T. Haimo, Finite Time Controllers SIAM Journal on Control and Optimization. ,vol. 24, pp. 760- 770 ,(1986) , 10.1137/0324047