Jeżeli nie znalazłeś poszukiwanej książki, skontaktuj się z nami wypełniając formularz kontaktowy.

Ta strona używa plików cookies, by ułatwić korzystanie z serwisu. Mogą Państwo określić warunki przechowywania lub dostępu do plików cookies w swojej przeglądarce zgodnie z polityką prywatności.

Wydawcy

Literatura do programów

Informacje szczegółowe o książce

Optimal Input Signals for Parameter Estimation: In Linear Systems with Spatio-Temporal Dynamics - ISBN 9783110350890

Optimal Input Signals for Parameter Estimation: In Linear Systems with Spatio-Temporal Dynamics

ISBN 9783110350890

Autor: Ewaryst Rafaj

Wydawca: de Gruyter

Dostępność: 3-6 tygodni

Cena: 592,20 zł

Przed złożeniem zamówienia prosimy o kontakt mailowy celem potwierdzenia ceny.


ISBN13:      

9783110350890

ISBN10:      

3110350890

Autor:      

Ewaryst Rafaj

Oprawa:      

Hardback

Rok Wydania:      

2022-03-21

Ilość stron:      

202

The aim of this book is to provide methods and algorithms for the optimization of input signals so as to estimate parameters in systems described by PDE’s as accurate as possible under given constraints. The optimality conditions have their background in the optimal experiment design theory for regression functions and in simple but useful results on the dependence of eigenvalues of partial differential operators on their parameters. Examples are provided that reveal sometimes intriguing geometry of spatiotemporal input signals and responses to them.

An introduction to optimal experimental design for parameter estimation of regression functions is provided. The emphasis is on functions having a tensor product (Kronecker) structure that is compatible with eigenfunctions of many partial differential operators. New optimality conditions in the time domain and computational algorithms are derived for D-optimal input signals when parameters of ordinary differential equations are estimated. They are used as building blocks for constructing D-optimal spatio-temporal inputs for systems described by linear partial differential equations of the parabolic and hyperbolic types with constant parameters. Optimality conditions for spatially distributed signals are also obtained for equations of elliptic type in those cases where their eigenfunctions do not depend on unknown constant parameters. These conditions and the resulting algorithms are interesting in their own right and, moreover, they are second building blocks for optimality of spatio-temporal signals. A discussion of the generalizability and possible applications of the results obtained is presented. Author information

Ewaryst Rafajlowicz, Wroclaw University of Science and Technology, Poland.

1 Introduction
 Requires Authentication
 
2 Optimal experiment design for linear regression models – a primer
 Requires Authentication
 
3 Numerical search for D-optimal designs – basic methods for a linear regression
 Requires Authentication
 
4 The product of experiment designs and its optimality
 Requires Authentication
 
5 Optimal input signals for linear systems described by ODEs
 Requires Authentication
 
6 Optimal excitations for systems described by elliptic equations
 Requires Authentication
 
7 Optimal input signals for DPS – time domain synthesis
 Requires Authentication
 
8 Input signal design for systems with spatio-temporal dynamics – frequency domain approach
 Requires Authentication
 
9 Final comments
 Requires Authentication
 
Bibliography
 Requires Authentication
 
Index
 Requires Authentication

Koszyk

Książek w koszyku: 0 szt.

Wartość zakupów: 0,00 zł

ebooks
covid

Kontakt

Gambit
Centrum Oprogramowania
i Szkoleń Sp. z o.o.

Al. Pokoju 29b/22-24

31-564 Kraków


Siedziba Księgarni

ul. Kordylewskiego 1

31-542 Kraków

+48 12 410 5991

+48 12 410 5987

+48 12 410 5989

Zobacz na mapie google

Wyślij e-mail

Subskrypcje

Administratorem danych osobowych jest firma Gambit COiS Sp. z o.o. Na podany adres będzie wysyłany wyłącznie biuletyn informacyjny.

Autoryzacja płatności

PayU

Informacje na temat autoryzacji płatności poprzez PayU.

PayU banki

© Copyright 2012: GAMBIT COiS Sp. z o.o. Wszelkie prawa zastrzeżone.

Projekt i wykonanie: Alchemia Studio Reklamy