Results 171 to 180 of about 135,095 (252)

On damped algebraic Riccati equations

IEEE Transactions on Automatic Control, 1998
The 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.
He, C.-Y., Hench, J. J., Mehrmann, V.
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Sensitivity of algebraic Riccati equations

Proceedings of 35th IEEE Conference on Decision and Control, 2002
The inherent conservatism in standard norm-based bounds for the sensitivity of the continuous-time algebraic Riccati equation is discussed and alternative sensitivity measures are introduced. These measures can be used to model a variety of situations where uncertainty in the data lead to an uncertain solution of the equation, and can be used to ...
T. Gudmundsson, C.S. Kenney, A.J. Laub
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Algebraic Riccati Equations

1995
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.
Peter Lancaster, Leiba Rodman
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On dual algebraic Riccati equations

IEEE Transactions on Automatic Control, 1991
A method is presented to solve dual algebraic Riccati equations. It is shown that only one Schur decomposition of the Hamiltonian matrix is necessary to solve the dual equations. >
L.-F. Wei, F.-B. Yeh
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Perturbation Theory for Algebraic Riccati Equations

SIAM Journal on Matrix Analysis and Applications, 1998
The continuous-time algebraic Riccati equation (CARE) \[ Q+A^HX+XA-XGX=0 \] and the discrete-time algebraic Riccati equation (DARE) \[ X-A^HX(I+GX)^{-1}A-Q=0 \] are considered. Appropriate assumptions on the coefficient matrices are made to guarantee the existence and uniqueness of a Hermitian positive semidefinite (p.s.d.) solution.
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Frequency Solvability Conditions for Algebraic Riccati Equations

IFAC Proceedings Volumes, 1992
Abstract Necessary and sufficient conditions for the existence of the stabilizing solution of the algebraic Riccati equation are derived both for the continuous and discrete-time cases under the weakest possible assumptions imposed on the initial data. The conditions are involving an associated Popov function.
Vlad Ionescu, Martin Weiss
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The Riccati algebraic equation in a locallyC ⋆-algebra

Integral Equations and Operator Theory, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Algebraic Matrix Riccati Equation

1984
We review some recent results concerning the symmetric algebraic matrix Riccati equation and especially its hermitian solutions. The main idea is description of such solutions in terms of invariant subspaces of a certain matrix, which is self-adjoint in an indefinite scalar product. Some new results on this subject are presented as well.
A. C. M. Ran, L. Rodman
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Numerical Study on Nonsymmetric Algebraic Riccati Equations

Mediterranean Journal of Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Changfeng, Lu, Huaize
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On the discrete-time algebraic Riccati equation

Proceedings of the 1972 IEEE Conference on Decision and Control and 11th Symposium on Adaptive Processes, 1972
A detailed account of the properties of a class of algebraic Riccati equations which arise in discrete time control and filtering problems is given. It is shown that a generalized notion of detectability plays an important role in classifying solutions of these equations. This concept is also related to a minimum phase condition.
Payne, Harold J., Silverman, Leonard M.
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