Yanling Shang, "Global Finite-Time Stabilization of Stochastic Nonlinear Systems with Low-Order Nonlinearities," WSEAS Transactions on Systems and Control, vol. 10, pp. 127-136, 2015, DOI:
Yanling Shang. Global Finite-Time Stabilization of Stochastic Nonlinear Systems with Low-Order Nonlinearities.
WSEAS Transactions on Systems and Control. 2015;10:127-136.
WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 10, 2015
Global Finite-Time Stabilization of Stochastic Nonlinear Systems with Low-Order Nonlinearities
Author:
Abstract: This paper investigates the problem of global finite-time stabilization by state feedback for a class of stochastic nonlinear systems with low-order nonlinearities, to which the existing control methods are inapplicable. By skillfully adopting the method of adding a power integrator and constructing twice continuous differential Lyapunov functions, a stepwise constructive continuous state feedback control methodology is proposed. Based on stochastic finite-time stability theorem, it is proved that the solution of the closed-loop system is finite-time stable in probability. Two simulation examples are provided to illustrate the effectiveness of the proposed approach.
Pages: 127-136 WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 10, 2015, Art. #14 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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