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IMA Journal of Mathematical Control and Information 1999 16(4):353-362; doi:10.1093/imamci/16.4.353
© 1999 by Institute of Mathematics and its Applications
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Stability analysis and estimation of the parametric robust space of a nonlinear composite system

XING-GANG YAN {dagger} and GUAN-ZHONG DAI

Mathematics Department, Qingdao University Qingdao, Shandong, 266071, P. R. China
Department of Automatic Control, Northwestern Polytechnical University Xi'an, 710072, P. R. China

In this paper, by exploiting differential geometric theory, the problem of robust stability of nonlinear composite systems is transformed to the corresponding problem of a class of nonlinear composite systems possessing linear isolated subsystems. Then, some criteria of robust stability are shown, and a method of dealing with general interconnections is presented. Finally, an example is introduced to illustrate our result and a method of estimating the parametric robust space of nonlinear composite systems.

Keywords: nonlinear composite systems; asymptotic stability; robustness.

{dagger}Email: xgyan{at}public.qd.sd.cn


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