Riccati Equations and their Solution

Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Riccati Equations and their Solution
Original language description
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
Czech name
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Czech description
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Project
<a href="/en/project/1M0567" target="_blank" >1M0567: Centre for Applied Cybernetics</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Book/collection name
The Control Handbook, Second Edition: Control System Advanced Methods
ISBN
978-1-4200-7366-9
Number of pages of the result
23
Pages from-to
"14.1"-"14.21"
Number of pages of the book
3526
Publisher name
CRC Press
Place of publication
Boca Raton
UT code for WoS chapter
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