Riccati equation

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Riccati equation [ri′käd·ē i‚kwā·zhən]

(mathematics)

A first-order differential equation having the formy′ =A₀(x) +A₁(x)y+A₂(x)y²; every second-order linear differential equation can be transformed into an equation of this form.

A matrix equation of the formdP(t)/dt+P(t)F(t) +F^T(t)P(t) -P(t)G(t)R^-1(t)G^T(t)P(t) +Q(t) = 0, which frequently arises in control and estimation theory.

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