Results 171 to 180 of about 36,359 (205)

Solving Projected generalized Lyapunov Equations using SLICOT

2006 IEEE Conference on Computer-Aided Control Systems Design, 2006
We discuss the numerical solution of projected generalized Lyapunov equations. Such equations arise in many control problems for linear time-invariant descriptor systems including stability analysis, balancing and model order reduction. We present solvers for projected generalized Lyapunov equations based on matrix equations subroutines that are ...
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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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Generalized Lyapunov functions and functional equations

Annali di Matematica Pura ed Applicata, 1965
Some results of Minty and Browder on the existence of solutions of functional equations are generalized by replacing the notion of monotony by one involving a Lyapunov function. In the last section, analogous arguments are used to obtain an existence theorem for an initial value problem belonging to an ordinary differential equation on Hilbert space.
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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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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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A new procedure to solve generalized Lyapunov equations

18th Mediterranean Conference on Control and Automation, MED'10, 2010
For stability analysis of discrete-time descriptor systems, various generalized Lyapunov equations have been proposed in the literature. However, positiveness of the solutions for these well known Lyapunov equations are not biunivocaly related to causal state trajectories that go to zero as the time goes to infinity, even under observability ...
Joao Y. Ishihara, Marco H. Terra, Joao P. Cerri, Amanda L. P. Manfrim   +3 more
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Conditioning of the generalized Lyapunov and Riccati equations

Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251), 1999
Local sensitivity analysis of the generalized continuous time Lyapunov and Riccati equations is presented. Linear perturbation bounds are obtained in terms of condition numbers.
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Lyapunov‐type inequality to general second‐order elliptic equations

Mathematical Methods in the Applied Sciences
We establish Lyapunov‐type inequality for equations concerning general class of second‐order non‐symmetric elliptic operators with singular coefficients. Our approach is based on the probabilistic representation of solutions and stochastic calculus. We also discuss a Lyapunov‐type inequality for equations pertaining to second‐order symmetric operator ...
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