6533b7dafe1ef96bd126ec2e

RESEARCH PRODUCT

Stabilization of a Class of Stochastic Nonlinear Systems

Navid NorooziHamid Reza KarimiS. Vahid NaghaviValiollah Ghaffari

subject

Lyapunov stabilityScheme (programming language)Class (set theory)Article SubjectGeneral Mathematicslcsh:MathematicsGeneral EngineeringStability (learning theory)MathematicsofComputing_NUMERICALANALYSISEquations of motionlcsh:QA1-939Nonlinear systemControl theorylcsh:TA1-2040lcsh:Engineering (General). Civil engineering (General)computerMathematicscomputer.programming_language

description

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.

yearjournalcountryeditionlanguage
2013-01-01Mathematical Problems in Engineering
10.1155/2013/895895https://doaj.org/article/5d07fc9255df439688d2158fbf8671a0