Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10733120 | Chaos, Solitons & Fractals | 2005 | 11 Pages |
Abstract
In this paper, the Hâ analysis problem is studied for a general class of nonlinear stochastic systems with time-delay. The stochastic systems are described in terms of stochastic functional differential equations. The Razumikhin-type lemma is employed to establish sufficient conditions for the time-delay stochastic systems to be internally stable, and the Hâ analysis problem is studied in order to quantify the disturbance rejection attenuation level of the nonlinear stochastic time-delay system. In particular, the paper obtains the general conditions under which the L2 gain of the system is less than or equal to a given constant. Some easy-to-test criteria are also given so as to determine whether the nonlinear stochastic time-delay system under investigation is internally stable and whether it achieves certain Hâ performance index. Finally, illustrative examples are provided to show the usefulness of the proposed theory.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Huisheng Shu, Guoliang Wei,