Backstepping Method for Stabilizing System of 2×2 Riccati Matrix Differential Equations

Al-Nahrain Journal of Science ◽

10.22401/anjs.23.2.08 ◽

2020 ◽

Vol 23 (2) ◽

pp. 55-59

Author(s):

Akram H. Shather ◽

Keyword(s):

Differential Equations ◽

Backstepping Method ◽

Matrix Differential Equations ◽

Matrix Differential ◽

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II: Basic Properties of Solutions of Riccati Matrix Differential Equations

Mathematics in Science and Engineering - Riccati Differential Equations ◽

10.1016/s0076-5392(08)61167-4 ◽

1972 ◽

pp. 9-88

Keyword(s):

Differential Equations ◽

Basic Properties ◽

Matrix Differential Equations ◽

Matrix Differential ◽

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III: Involutory Riccati Matrix Differential Equations

Mathematics in Science and Engineering - Riccati Differential Equations ◽

10.1016/s0076-5392(08)61168-6 ◽

1972 ◽

pp. 89-108

Keyword(s):

Differential Equations ◽

Matrix Differential Equations ◽

Matrix Differential ◽

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On the asymptotic behaviour of certain Riccati matrix differential equations

Asymptotic Analysis ◽

10.3233/asy-1993-6401 ◽

1993 ◽

Vol 6 (4) ◽

pp. 295-314 ◽

Author(s):

Fritz Jürgen Märker

Keyword(s):

Differential Equations ◽

Asymptotic Behaviour ◽

Matrix Differential Equations ◽

Matrix Differential ◽

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Exact solution of a class of strongly coupled Riccati matrix differential equations

Applied Mathematics and Computation ◽

10.1016/0096-3003(91)90031-h ◽

1991 ◽

Vol 43 (2) ◽

pp. 165-173

Author(s):

L. Jódar ◽

E. Navarro

Keyword(s):

Exact Solution ◽

Differential Equations ◽

Strongly Coupled ◽

Matrix Differential Equations ◽

Matrix Differential ◽

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Analytical approximate solutions and error bounds for nonsymmetric riccati matrix differential equations

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(92)90144-m ◽

1992 ◽

Vol 41 (3) ◽

pp. 377-383

Author(s):

Lucas Jódar

Keyword(s):

Differential Equations ◽

Error Bounds ◽

Approximate Solutions ◽

Matrix Differential Equations ◽

Matrix Differential ◽

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Riccati matrix differential equations and non-oscillation criteria for associated linear differential systems

Pacific Journal of Mathematics ◽

10.2140/pjm.1963.13.665 ◽

1963 ◽

Vol 13 (2) ◽

pp. 665-685 ◽

Author(s):

William T. Reid

Keyword(s):

Differential Equations ◽

Differential Systems ◽

Oscillation Criteria ◽

Linear Differential Systems ◽

Matrix Differential Equations ◽

Linear Differential ◽

Matrix Differential ◽

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A Memory-Efficient Formulation of Precise-Integration Time-Domain Method With Riccati Matrix Differential Equations

IEEE Transactions on Magnetics ◽

10.1109/tmag.2019.2952152 ◽

2020 ◽

Vol 56 (2) ◽

pp. 1-4 ◽

Author(s):

Xiaojie Zhu ◽

Xikui Ma ◽

Jinghui Shao ◽

Shuli Yin

Keyword(s):

Differential Equations ◽

Time Domain ◽

Time Domain Method ◽

Integration Time ◽

Precise Integration ◽

Domain Method ◽

Matrix Differential Equations ◽

Matrix Differential ◽

Riccati Matrix ◽

Memory Efficient

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Lyapunov-type functions and invariant sets for Riccati matrix differential equations

1997 European Control Conference (ECC) ◽

10.23919/ecc.1997.7082594 ◽

1997 ◽

Author(s):

G. Freiling ◽

G. Jank ◽

A. Sarychev

Keyword(s):

Differential Equations ◽

Invariant Sets ◽

Matrix Differential Equations ◽

Matrix Differential ◽

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Monotoneity Properties of Solutions of Hermitian Riccati Matrix Differential Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/0501019 ◽

1970 ◽

Vol 1 (2) ◽

pp. 195-213 ◽

Author(s):

William T. Reid

Keyword(s):

Differential Equations ◽

Matrix Differential Equations ◽

Matrix Differential ◽

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IV: Hermitian Riccati Matrix Differential Equations

Mathematics in Science and Engineering - Riccati Differential Equations ◽

10.1016/s0076-5392(08)61169-8 ◽

1972 ◽

pp. 109-168

Keyword(s):

Differential Equations ◽

Matrix Differential Equations ◽

Matrix Differential ◽

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