Output sensitivity analysis of time-varying linear systems using polynomial series |
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| Institution: | 1. Engineering Physics and Mathematics Department, Faculty of Engineering, Tanta University, Tanta 31511, Egypt;2. Mechanical Power Engineering Department, Faculty of Engineering, Tanta University, Tanta 31511, Egypt;1. Leeds University Business School, University of Leeds, Maurice Keyworth Building, Leeds LS2 9JT, United Kingdom;2. Grenoble Ecole de Management, 12 Rue Pierre Semard, 38000 Grenoble, France |
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| Abstract: | An approximate method is proposed for the determination of the output sensitivity function of linear time-varying systems using polynomial series expansions. The novelities of the proposed method are the use of the operational matrix of differentiation for the derivation of the algebraic equations approximating the differential equation, and the use of the operational matrix of polynomial series transformation for the simplification of the algorithm required for the application of the method using any type of polynomial series. |
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