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On damped algebraic Riccati equations
IEEE Transactions on Automatic Control, 1998The paper extends an earlier algorithm to compute damping feedbacks for linear time-invariant systems. The main tool are damped algebraic Riccati equations which have Hermitian and skew-Hermitian solutions.
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The Algebraic Riccati Equation for Quaternions
Advances in Applied Clifford Algebras, 2013The 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.
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On the Algebraic Riccati Equations of Finite Elastostatics
Journal of Elasticity, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Abstract This book provides a careful treatment of the theory of algebraic Riccati equations. It consists of four parts: the first part is a comprehensive account of necessary background material in matrix theory including careful accounts of recent developments involving indefinite scalar products and rational matrix functions.
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The Riccati algebraic equation in a locallyC ⋆-algebra
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