Results 171 to 180 of about 28,579 (204)

Generalized Operator Riccati Equations

SIAM Journal on Mathematical Analysis, 1985
Summary: The Riccati equation \(dU/dt=AU+UB^*+UCU+D\) on the space \({\mathcal L}(X)\) of bounded linear operators on a reflexive Banach space X arises in control theory and transport theory. A more general problem is the following. Let A and B be closed linear operators in X and \(X^*\) respectively and let \({\mathcal F}\) be a map from [0,T)\(\times
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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
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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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Mixed Riccati equations and contractiveness

1999 European Control Conference (ECC), 1999
We extend results on dichotomy and contractiveness to the case of time-varying descriptor systems. The main tool in our derivations is a new mixed direct/inverse-time Riccati equation.
Vlad Ionescu, Cristian Oara
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Structural Stability for the Riccati Equation

SIAM Journal on Control, 1975
The problem of assigning traffic in a multiserver system, where customer-server relationships are determined beforehand, can be regarded as a problem in system design. This is done, and designs are identified which lead to optimization of several alternative criteria.
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ON THE THEORY OF THE MATRIX RICCATI EQUATION

Mathematics of the USSR-Sbornik, 1992
See the review Zbl 0747.49006.
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Riccati equations

2023
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Reproducing kernels and Riccati equations.

2001
Summary: The purpose of this paper is to exhibit a connection between the Hermitian solutions of matrix Riccati equations and a class of finite-dimensional reproducing kernel Krein spaces. This connection is then exploited to obtain minimal factorizations of rational matrix-valued functions that are \(J\)-unitary on the imaginary axis in a natural way.
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Nonsymmetric Algebraic Riccati Equations and Wiener--Hopf Factorization for M-Matrices

SIAM Journal on Matrix Analysis and Applications, 2001
Chun-Hua Guo
exaly  

On the Iterative Solution of a Class of Nonsymmetric Algebraic Riccati Equations

SIAM Journal on Matrix Analysis and Applications, 2000
Chun-Hua Guo
exaly