Problem of iterative procedure convergence in parametric identification of the systems with turbulent friction. (Russian. English summary) Zbl 1474.65474
Summary: The problem of convergence of iterative procedure for clarification of coefficients of the finite-difference equation in numerical technique for determination of the differential operator parameters for the systems with turbulent friction is considered. Theorem about a sufficient condition of iterative procedure convergence is defined and demonstrated. During theorem proving contracting mapping and fundamental sequence properties are used. As a corollary of the theorem formulas describing prior and posterior estimate of the approximation error are received.
MSC:
| 65P40 | Numerical nonlinear stabilities in dynamical systems |
| 34C15 | Nonlinear oscillations and coupled oscillators for ordinary differential equations |
| 37M05 | Simulation of dynamical systems |
Keywords:
systems with turbulent friction; parametric identification; finite-difference equations; mean-square estimationReferences:
| [1] | Zoteev V. E., Parametric identification of dissipative mechanical systems based on difference equations, ed. V. P. Radchenko, Mashinostroenie-1, Moscow, 2009, 344 pp. |
| [2] | Zoteev V. E., Zausaeva M. A., Egorova A. A., “Parametric identification of the differential operators for the systems with turbulent friction on the base of finite-difference equations”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 5(21) (2010), 125-133 · Zbl 1474.65475 · doi:10.14498/vsgtu773 |
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