A Parameter Free Iterative Method for Solving Projected Generalized Lyapunov Equations [PDF]
, 2012 Yiqin Lin, Liping Zhou, Liang Bao
openalex +1 more source
Numerical solution and perturbation theory for generalized Lyapunov equations
Linear Algebra and its Applications, 2002 The numerical solution and a perturbation theory for the generalized continuous-time Lyapunov equation \(E^*XA+ A^*XE= -G\) with a singular matrix \(E\) are presented. This equation may not have solutions and even if a solution exists, it is, in general, not unique. Generalizations of the Bartels-Stewart and Hammarling methods are proposed to compute a
openaire +1 more source
An algorithm for solving generalized algebraic Lyapunov equations in Hilbert space, applications to boundary value problems [PDF]
, 1988 L. Jódar
openalex +1 more source
A New Method of Solving Special Solutions of Quaternion Generalized Lyapunov Matrix Equation [PDF]
, 2022 Zhihong Liu +3 more
openalex +1 more source
Generalized Lyapunov–Schmidt reduction for parametrized equations at near singular points
Linear Algebra and its Applications, 2001 The solution manifold to the nonlinear equation \(F(\lambda,u)= 0\) in a neighbourhood of an approximate zero is investigated. Here, \(F\) is a sufficiently smooth nonlinear mapping with values in a Banach space, \(\lambda\) is a real-valued vector, and \(u\) is element of another Banach space.
openaire +2 more sources
Solving Stable Generalized Lyapunov Equations for Hankel Singular Values Computation
, 2022 Vasile Sima
openalex +1 more source
Lyapunov stability of systems of lineargeneralized ordinary differential equations
Computers & Mathematics with Applications, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Optimal control for infinite-dimensional linear systems with Markovian jumps in Borel spaces [PDF]
Surveys in Mathematics and its ApplicationsThis paper addresses an optimal control problem for discrete-time, infinite - dimensional linear systems with Markovian jumps (LSMJs) in a Borel space. The main objective is to minimize an infinite-horizon, non-negative quadratic cost functional for time-
Viorica Mariela Ungureanu +1 more
doaj
Solving a class of generalized Lyapunov operator differential equations without the exponential operator function [PDF]
, 1990 L. Jódar
openalex +1 more source
On the Novel Auxiliary Lyapunov Function and Uniform Asymptotic Practical Stability of Nonlinear Impulsive Caputo Fractional Differential Equations via New Modelled Generalized Dini Derivative [PDF]
J. E. Ante +5 more
openalex +1 more source