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On Riccati Matrix Differential Equations

Results in Mathematics, 1997
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Knobloch, H. W., Pohl, M.
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Matrix Riccati Differential Equations

Journal of the Society for Industrial and Applied Mathematics, 1965
Chiellini [1] considered this system, and showed that knowledge of n solutions, not on the same (n 2) -flat, reduced the solution to quadratures (this generalizes (I)). In [2] it was shown that knowledge of k suitably independent solutions, 1 < k < n, reduces the solution to k quadratures and the solution of a matrix-vector linear homogeneous system of
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GIP integrators for Matrix Riccati Differential Equations

Applied Mathematics and Computation, 2014
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Kristopher Garrett, C., Li, Ren-Cang
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Hermitian Riccati differential equations

2003
This chapter is dedicated to the theory of Hermitian Riccati differential equations (HRDE), which are of importance in various fields of applications, as e.g., the linear quadratic optimal problem, differential games, differential geometry, fac­torization problems and spectral theory.
Hisham Abou-Kandil   +3 more
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The Symplectic Semigroup and Riccati Differential Equations

Journal of Dynamical and Control Systems, 2006
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Lawson, Jimmie, Lim, Yongdo
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Positivity Preserving Exponential Integrators for Differential Riccati Equations

Journal of Scientific Computing, 2023
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Hao Chen, Alfio Borzì
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Riccati's Nonlinear Differential Equation

The American Mathematical Monthly, 1960
(1960). Riccati's Nonlinear Differential Equation. The American Mathematical Monthly: Vol. 67, No. 2, pp. 134-139.
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Differential and Difference Riccati Equations

1993
In this chapter, we study the main equations of the finite time optimal closed-loop linear-quadratic control problems, namely, the differential and difference Riccati equations, for both singularly perturbed and weakly coupled systems. A unique approach to the solutions of these Riccati equations is developed by performing the block diagonalization of ...
Zoran Gajić, Xuemin Shen
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APPROXIMATE SOLUTION TO FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS

Fractals, 2019
In this paper, quadratic Riccati differential equation of fractional order has been solved by employing the optimal homotopy asymptotic method (Optimal HAM) with application to random processes, optimal control and diffusion problems. Optimal HAM uses simple computations with quite acceptable approximate solutions which have close agreement with exact
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A Note on Some Riccati Differential Equations

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
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Laine, I., Liu, K.
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