AN IMPROVEMENT OF THE APPROXIMATE SOLUTION TO CONVEX MODELS OF UNCERTAINTIES

Zhiping Qiu

doi:10.6052/0459-1879-1997-4-1995-254

Volume 29 Issue 4

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Article Navigation > Chinese Journal of Theoretical and Applied Mechanics > 1997 > 29(4): 476-480

Zhiping Qiu, . AN IMPROVEMENT OF THE APPROXIMATE SOLUTION TO CONVEX MODELS OF UNCERTAINTIES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(4): 476-480. doi: 10.6052/0459-1879-1997-4-1995-254

Citation:

Zhiping Qiu, . AN IMPROVEMENT OF THE APPROXIMATE SOLUTION TO CONVEX MODELS OF UNCERTAINTIES[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(4): 476-480. doi: 10.6052/0459-1879-1997-4-1995-254

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AN IMPROVEMENT OF THE APPROXIMATE SOLUTION TO CONVEX MODELS OF UNCERTAINTIES

doi: 10.6052/0459-1879-1997-4-1995-254

Zhiping Qiu,

北京航空航天大学航空科学与工程学院

Publish Date: 1997-07-25

Abstract

Abstract

In terms of the eigenvalue problem with uncertain parameters,by means of non probabilistic,convex modeling combined with perturbation theory, an improvement is made on the first order approximate solution inconvex models of uncertainties. Without calculating the derivative of eigenvalues, the improved method not only can widen application of convex modeling, but also can greatly increase the efficiency ofcomputations.
- uncertain but bounded parameters,
- eigenvalues,
- convex set theory,
- perturbation,
- first order approximetion