A new set of orthogonal functions and its application to the analysis of dynamic systems
Citations
30 citations
Cites background from "A new set of orthogonal functions a..."
...But the optimal representation of f(t) can be obtained if the coefficients ci and di are determined from the following two equations [30]: ∫ (i+1)h...
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...These functions are orthogonal [30], so: ∫ 1...
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...[30] as a new set of orthogonal functions....
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29 citations
Cites background from "A new set of orthogonal functions a..."
...Orthogonality of 1D-TFs is shown in [15], that is, ∫ 1...
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...More details of 1D-TFs may be found in [15]....
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Cites background or methods from "A new set of orthogonal functions a..."
...(2006) in [8], and TF approximation were successfully applied for analysis of dynamic systems [8], variational problems [6], integral equations [3,5], integrodifferential equations [4], Nonlinear Constrained Optimal Control Problems [9], and Volterra-Fredholm integral equations [2,12,13]....
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...From the definition of TFs, it is clear that TFs are disjoint, orthogonal, and complete [8]....
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References
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