Results 201 to 210 of about 35,286 (235)

Generalized Lyapunov Equation and Factorization of Matrix Polynomials

IFAC Proceedings Volumes, 1993
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Aliev, F. A., Larin, V. B.
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Generalized Lyapunov equations for stable singular system

Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), 2002
A linear time-invariant singular system Ex/spl dot/(t)=Ax(t)+Bu(t), y(t)=Cx(t) is treated. Two generalized Lyapunov equations for the stable system, one for controllability and the other one for observability, are constructed. The sufficient and necessary conditions for the existence of unique, positive definite solutions to the two equations are ...
null Zhou Gang, null Zhang Qinging, null Jing Haiying, null Wanquan Liu   +3 more
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Numerical solution to generalized Lyapunov/Stein and rational Riccati equations in stochastic control

Numerical Algorithms, 2015
Hung‐Yuan Fan, Peter Chang-Yi Weng, Eric King‐wah Chu   +2 more
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Sensitivity Analysis of Generalized Lyapunov Equations

2005
The sensitivity of generalized matrix Lyapunov equations relative to perturbations in the coefficient matrices is studied. New local and non-local perturbation bounds are obtained.
M. M. Konstantinov, P. Hr. Petkov, N. D. Christov   +2 more
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PARALLEL DISTRIBUTED SOLVERS FOR LARGE STABLE GENERALIZED LYAPUNOV EQUATIONS

Parallel Processing Letters, 1999
In this paper we study the solution of stable generalized Lyapunov matrix equations with large-scale, dense coefficient matrices. Our iterative algorithms, based on the matrix sign function, only require scalable matrix algebra kernels which are highly efficient on parallel distributed architectures.
Benner, P. ; https://orcid.org/0000-0003-3362-4103, Claver, J., Quintana-Ortí, E.   +2 more
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Perturbation analysis of the generalized Sylvester equation and the generalized Lyapunov equation

International Journal of Computer Mathematics, 2010
This paper is devoted to the perturbation analysis for the generalized Sylvester equation and the generalized Lyapunov equation. The explicit expressions and upper bounds of normwise, mixed and componentwise condition numbers for these equations are presented. The results are illustrated by numerical examples.
Yaoping Tang, Liang Bao, Yiqin Lin
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Numerical solution of generalized Lyapunov equations

Advances in Computational Mathematics, 1998
The author develops two efficient methods for solving generalized Lyapunov equations and their implementation in FORTRAN 77. The first method is a generalization of the Bartels-Stewart method (cf. \textit{R. H. Bartels} and \textit{G. W. Stewart} [Commun. ACM 15, No.
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118 Generalized Lyapunov equation and factorization of matrix polynomials

Control Engineering Practice, 1994

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Sensitivity analysis of the discrete generalized Lyapunov equation

Proceedings of 1994 33rd IEEE Conference on Decision and Control, 2002
Studies the sensitivity of Lyapunov equations which are encountered in generalized state-space systems of the form E/spl chi/(/spl kappa/+1)=A/spl chi/(/spl kappa/), where E is nonsingular, and the system stable. The authors treat this problem and show that the results of the generalized continuous-time case extend to the discrete-time case ...
R. Aripirala, V.L. Syrmos, P. Misra
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Energy Lyapunov function for generalized replicator equations

2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775), 2004
Replicator dynamics is an evolutionary strategy well established in different disciplines of biological sciences. It describes the evolution of self-reproducing entities called replicators in various independent models of, e.g., genetics, ecology, prebiotic evolution, and sociobiology.
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