Using AVK method to solve nonlinear problems with uncertain parameters

Although we usually would like to work with exact systems, most of the real world systems are nonlinear with uncertain parameters. In this paper, we propose AVK (A.V. Kamyad) approach to solve nonlinear problems with uncertain parameters (NPUP). This approach substitutes the original nonlinear syste...

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Bibliographic Details
Published in:Applied mathematics and computation 2007-06, Vol.189 (1), p.27-34
Main Authors: Badakhshan, K.P., Kamyad, A.V., Azemi, A.
Format: Article
Language:English
Subjects:
AVK method
Calculus of variations and optimal control
Exact sciences and technology
Mathematical analysis
Mathematics
Nonlinear problem
Numerical analysis
Numerical analysis. Scientific computation
Optimal control
Sciences and techniques of general use
Uncertain parameter
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Summary:Although we usually would like to work with exact systems, most of the real world systems are nonlinear with uncertain parameters. In this paper, we propose AVK (A.V. Kamyad) approach to solve nonlinear problems with uncertain parameters (NPUP). This approach substitutes the original nonlinear system with an equivalent nonlinear programming (NLP) problem. Using this approach, we found an optimal solution of NLP problem and a new approximate solution for the original NPUP in L p space.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2006.11.172