Riccati Equations and their Solution

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F11%3A00436431" target="_blank" >RIV/67985556:_____/11:00436431 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Riccati Equations and their Solution

Popis výsledku v původním jazyce

A Riccati equation, deriving its name from Jacopo Francesco, Count Riccati (1676?1754) [1], who studied a particular case of this equation from 1719 to 1724. For several reasons, a differential equation of the form of Equation 14.1, and generalizations thereof comprise a highly significant class of nonlinear ordinary differential equations. First, they are intimately related to ordinary linear homogeneous differential equations of the second order. Second, the solutions of Equation 14.1 possess a very particular structure in that the general solution is a fractional linear function in the constant of integration. In applications, Riccati differential equations appear in the classical problems of the calculus of variations and in the associated disciplines of optimal control and filtering

Název v anglickém jazyce

Riccati Equations and their Solution

Popis výsledku anglicky

A Riccati equation, deriving its name from Jacopo Francesco, Count Riccati (1676?1754) [1], who studied a particular case of this equation from 1719 to 1724. For several reasons, a differential equation of the form of Equation 14.1, and generalizations thereof comprise a highly significant class of nonlinear ordinary differential equations. First, they are intimately related to ordinary linear homogeneous differential equations of the second order. Second, the solutions of Equation 14.1 possess a very particular structure in that the general solution is a fractional linear function in the constant of integration. In applications, Riccati differential equations appear in the classical problems of the calculus of variations and in the associated disciplines of optimal control and filtering

Druh

C - Kapitola v odborné knize

CEP obor

BC - Teorie a systémy řízení

OECD FORD obor

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Projekt

<a href="/cs/project/1M0567" target="_blank" >1M0567: Centrum aplikované kybernetiky</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název knihy nebo sborníku

The Control Handbook, Second Edition: Control System Advanced Methods

ISBN

978-1-4200-7366-9

Počet stran výsledku

23

Strana od-do

"14.1"-"14.21"

Počet stran knihy

3526

Název nakladatele

CRC Press

Místo vydání

Boca Raton

Kód UT WoS kapitoly

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