Results 151 to 160 of about 1,929 (184)

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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On Riccati Matrix Differential Equations

Results in Mathematics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Knobloch, H. W., Pohl, M.
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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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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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Perturbation analysis for Riccati equation

Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), 2001
A perturbation analysis is applied to the Riccati equation of the linear quadratic regulator problem. In the limit where the weighting on the control input is zero, it is shown that the asymptotic expansion of the Riccati equation is equivalent to the limiting Riccati equation obtained by using the Goh transformation in the singular optimal control ...
Robert H. Chen, D. Lewis Mingori, Jason L. Speyer   +2 more
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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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A miscellany of results of an equation of Count J. F. Riccati

IEEE Transactions on Automatic Control, 1986
Ian Petersen, M Gevers, R Bitmead
exaly