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Solving Riccati Fuzzy Differential Equations

New Mathematics and Natural Computation, 2021
In this paper, a method for solving Riccati fuzzy differential equations is studied in great detail. To obtain the solution of Riccati fuzzy differential equations (RFDEs), we study the fuzzy differential equations (FDEs) using the concept of generalized [Formula: see text]-differentiability.
F. Karimi   +3 more
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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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Solving the Matrix Differential Riccati Equation: A Lyapunov Equation Approach

IEEE Transactions on Automatic Control, 2010
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Thang Nguyen, Z Gajić
exaly   +4 more sources

On the existence of solutions of the Riccati differential equation

Systems & Control Letters, 1987
A characterization of finite escape times in the time-varying Riccati equations using its representation as the flow of a right invariant vector field on Lagrangian Grassmann manifold is obtained. The results also are applied to the indefinite and time-varying cases.
P. E. CROUCH, PAVON, MICHELE
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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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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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GIP integrators for Matrix Riccati Differential Equations

Applied Mathematics and Computation, 2014
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C. Kristopher Garrett, Ren-Cang Li
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