Stabilization of a Class of Stochastic Nonlinear Systems

Valiollah Ghaffari, Hamid Reza Karimi, Navid Noroozi, S. Vahid Naghavi
2013 Mathematical Problems in Engineering  
This paper addresses two control schemes for stochastic nonlinear systems. Firstly, an adaptive controller is designed for a class of motion equations. Then, a robust finite-time control scheme is proposed to stabilize a class of nonlinear stochastic systems. The stability of the closed-loop systems is established based on stochastic Lyapunov stability theorems. Links between these two methods are given. The efficiency of the control schemes is evaluated using numerical simulations.
doi:10.1155/2013/895895 fatcat:w43vqlvzwnc47l2fr2sr5qcfqm