Results 161 to 170 of about 135,095 (252)

Analysis of solitary wave solutions in the fractional-order Kundu-Eckhaus system. [PDF]

open access: yesSci Rep
Alshammari S   +6 more
europepmc   +1 more source

The Algebraic Riccati Equation for Quaternions

Advances in Applied Clifford Algebras, 2013
The paper studies a Riccati equation \[ p(x):=a+bx+xc+xdx=0,\qquad a,b,c,d,x \in \mathbb{H}, \] where \(p\) is a quaternionic polynomial, which is shown to be reducible to a one-sided type. The set of quaternions \( \mathbb{H}\) can be seen as the four-dimensional vector space \( \mathbb{R}^4\) equipped with a special multiplication rule.
Janovská, Drahoslava, Opfer, Gerhard
openaire   +3 more sources

Algebraic Riccati equation and symplectic algebra

International Journal of Control, 1986
Questions of existence, uniqueness and the parametric dependence of solutions of the algebraic Riccati equation are considered. The different criteria for the solubility of this equation are obtained with the help of symplectic algebra.
L. E. Faibusovich
openaire   +2 more sources

The algebraic Riccati Equation (ARE)

Linear Systems Theory, 2018
D. Bini, B. Meini, S. Bittanti
semanticscholar   +3 more sources

Numerical methods for the minimal non‐negative solution of the non‐symmetric coupled algebraic Riccati equation

Asian journal of control, 2019
In this paper, base on the theory of the non‐symmetric algebraic Riccati equation and the coupled Riccati equation, we give the general form of the non‐symmetric coupled algebraic Riccati equation (NCARE).
Juan Zhang, F. Tan
semanticscholar   +1 more source

Solving Time-Varying Nonsymmetric Algebraic Riccati Equations With Zeroing Neural Dynamics

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2023
The problem of solving algebraic Riccati equations (AREs) and certain linear matrix equations which arise from the ARE frequently occur in applied and pure mathematics, science, and engineering applications.
T. Simos   +3 more
semanticscholar   +1 more source

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