Riccati equation

2021年10月8日 — A Riccati differential equation is an equation of the form y′+a(x)y=g(x)yν+f(x),ν≠0,1. Riccati equations h...

Riccati equation

2021年10月8日 — A Riccati differential equation is an equation of the form y′+a(x)y=g(x)yν+f(x),ν≠0,1. Riccati equations have no singular solutions. ,Riccati equations are quadratic in y(x):(7.103)y′=p(x)y2+q(x)y+r(x),where we require p≠0 to exclude linear ODEs and r≠0 to exclude Bernoulli equations.

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Riccati equation 相關參考資料
Algebraic Riccati equation - Wikipedia

An algebraic Riccati equation is a type of nonlinear equation that arises in the context of infinite-horizon optimal control problems in continuous time or ...

https://en.wikipedia.org

MATHEMATICA tutorial, Part 1.2: Riccati Equations

2021年10月8日 — A Riccati differential equation is an equation of the form y′+a(x)y=g(x)yν+f(x),ν≠0,1. Riccati equations have no singular solutions.

https://www.cfm.brown.edu

Riccati Equation - an overview | ScienceDirect Topics

Riccati equations are quadratic in y(x):(7.103)y′=p(x)y2+q(x)y+r(x),where we require p≠0 to exclude linear ODEs and r≠0 to exclude Bernoulli equations.

https://www.sciencedirect.com

Riccati Equation - Math24.net

The Riccati equation is used in different areas of mathematics (for example, in algebraic geometry and the theory of conformal mapping), and physics.

https://math24.net

Riccati equation - Wikipedia

More generally, the term Riccati equation is used to refer to matrix equations with an analogous quadratic term, which occur in both continuous-time and ...

https://en.wikipedia.org

Riccati Equations - SOS Math

1998年9月15日 — Indeed, consider the first order differential equation ... If we stop at y, we will get a linear equation. Riccati looked at the ...

http://www.sosmath.com

代數Riccati方程- 维基百科,自由的百科全书

代數Riccati方程(algebraic Riccati equation)是最优控制的非線性方程,和連續時間(英语:continuous time)或是離散時間下,無限時間(infinite-horizon)的最优 ...

https://zh.wikipedia.org