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Exact(8)
Theoretic proof for the convergence is given.
The proof of the scheduler convergence is given in the Appendix.
We next discuss the completeness of the normed quasi-linear space IR, where a version of interval convergence is given.
The construction of this algorithm is then specified, and the proof of its convergence is given for the two-subsystem case.
Then, the presented SMC law can guarantee the property of finite-time convergence of tracking error, which requires no information on high uncertainties that are estimated by ESO, and the rigorous proof of tracking error convergence is given.
The convergence is given by the convergence of the eigenfunctions of the discrete graph to those of the underlying continuous Fokker-Planck operator ({widehat {mathbf {psi }}_{l}}) underset{Nrightarrowinfty}{lim}mathbf{psi}_{l}=widehat{mathbf{psi} }_{l}.
Similar(52)
Conditions for asymptotic convergence are given.
Also, some estimates on the rate of convergence are given.
By some artefacts, sufficient conditions for asymptotic convergence, are given in terms of linear matrix inequalities.
The idea of statistical convergence was given by Zygmund [1] in 1935.
The detailed theoretic analyses for the relationship of the approximation accuracy and the algorithm convergence are given.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com