尹会成教授 (通讯作者)的论文:On the instability problem of a 3-D transonic oblique shock wave 在 Advances in Mathematics (2015 Vol. 282:443-515)发表。
朱建栋教授 (通讯作者)的论文:Cycles of Periodically Time-Variant Boolean Networks 在 Automatica (2015 Vol.51:175-179)发表。
张吉慧教授 (通讯作者)的论文:Concentrating Solutions of Nonlinear Fractional Schrodinger Equation With Potentials 在 Journal of Differential Equations (2015 Vol.258,No.4:1106-1128)发表。
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摘要:
This paper deals with the problem of finite-time stabilization for a class of high-order stochastic nonlinear systems in strict-feedback form. By using Itô’s formula, mathematical induction and backstepping design method, a novel state-feedback controller is constructed to guarantee that the closed-loop high-order nonlinear system has a unique solution and the solution of the closed-loop high-order nonlinear system is finite-time stable. A systematic design algorithm is developed for the construction of the backstepping controller. Finally, the effectiveness of the state-feedback controller is illustrated by two examples.