Stochastic stability of singularly perturbed nonlinear systems

被引：0

作者：

Tang, C ^{[1
]}

Basar, T ^{[1
]}

机构：

[1] Univ Illinois, Coordinated Sci Lab, Urbana, IL 61801 USA

来源：

PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5 | 2001年

关键词：

stochastic systems; singular perturbations; input-to-state stability;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The stability of a nonlinear stochastic dynamic system with singular perturbations is considered. Based on the notion of stochastic input-to-state stability and using time scale decomposition, a result of the "total stability" type is obtained, i.e. if the fast subsystem and the slow subsystem are both input-to-state stable with respect to disturbances, then this property continues to hold for the full-order system as long as the singular perturbation parameter is sufficiently small and a stochastic small gain condition is satisfied. The result is general in that it holds for a broad class of disturbances, and resembles similar results for deterministic systems.

引用

页码：399 / 404

页数：6

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