A Numerical-Analytic Method for Describing and Estimating Input and Output Parameters of a Multidimensional Dynamical Object: Part I
| Autor: | A. G. Kondrashov, A. V. Yachmenev, Yu. G. Bulychev, P. Yu. Radu |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
010302 applied physics
Differential equation State (functional analysis) Condensed Matter Physics Object (computer science) 01 natural sciences Domain (mathematical analysis) 010309 optics symbols.namesake Lagrange multiplier 0103 physical sciences Analytic element method symbols Initial value problem Applied mathematics Electrical and Electronic Engineering Representation (mathematics) Instrumentation Mathematics |
| Zdroj: | Optoelectronics, Instrumentation and Data Processing. 56:269-279 |
| ISSN: | 1934-7944 8756-6990 |
| DOI: | 10.3103/s8756699020030036 |
| Popis: | The paper develops a method for describing and estimating the state of a multidimensional dynamical object including the numerical-analytical representation of the general solution to the differential equation for the dynamical object and its measurable output, accounting for the domain of admissibility of time values and initial condition and of the uncertainty parameters in the right-hand side of the equation. The required quality of representation is achieved by using the family of previously constructed high-precision reference integral curves (of the needed size) and the principle of smooth dependence of solution and measured cooordinates in the given domain of admissibility for a wide class of dynamical objects. The estimate of method errors is given and the recommendations for the choice of its main parameters are provided. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink