Riccati equation

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Riccati equation

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

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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