Abstract: A new upper trace bound, which generalizes the best available similar estimates, improves their tightness and holds under a less conservative validity restriction imposed on the coefficient matrix, is derived for the solution matrix of the continuous algebraic Lyapunov equation (CALE). Two numerical examples illustrate the applicability of the main result
In this paper, new upper matrix bounds for the solution of the continuous algebraic Riccati equation...
In this paper, new upper matrix bounds for the solution of the continuous algebraic Riccati equation...
AbstractWe discuss the numerical solution and perturbation theory for the generalized continuous-tim...
ABSTRACT: This paper deals with the estimation of the solution of the continuous algebraic Lyapunov ...
New lower matrix bounds are derived for the solution of the continuous algebraic Lyapunov equation (...
Abstract: Motivated by the fact that upper solution bounds for the continuous Lyapunov equation are ...
Motivated by the fact that upper solution bounds of the continuous Lyapunov equation are valid under...
An alwaysvalid upper matrix bound for the solution of the continuous Lyapunov equation is proposed. ...
AbstractCertain aspects of stable Lyapunov operators can be easily studied by exploiting the lineari...
The estimation of the positive definite solutions to perturbed discrete Lyapunov equations is discu...
In this paper, we provide a bound of the continuous ARE solution in terms of a matrix associated wit...
This paper provides new lower and upper matrix bounds of the solution to the discrete algebraic Ricc...
AbstractA new bound on the “size” of the variation of the solution of the normal Lyapunov equation u...
In dynamical systems studies, the so-called Riccati and Lyapunov equations play an important role in...
We investigate the numerical solution of the stable generalized Lyapunov equation via the sign funct...
In this paper, new upper matrix bounds for the solution of the continuous algebraic Riccati equation...
In this paper, new upper matrix bounds for the solution of the continuous algebraic Riccati equation...
AbstractWe discuss the numerical solution and perturbation theory for the generalized continuous-tim...
ABSTRACT: This paper deals with the estimation of the solution of the continuous algebraic Lyapunov ...
New lower matrix bounds are derived for the solution of the continuous algebraic Lyapunov equation (...
Abstract: Motivated by the fact that upper solution bounds for the continuous Lyapunov equation are ...
Motivated by the fact that upper solution bounds of the continuous Lyapunov equation are valid under...
An alwaysvalid upper matrix bound for the solution of the continuous Lyapunov equation is proposed. ...
AbstractCertain aspects of stable Lyapunov operators can be easily studied by exploiting the lineari...
The estimation of the positive definite solutions to perturbed discrete Lyapunov equations is discu...
In this paper, we provide a bound of the continuous ARE solution in terms of a matrix associated wit...
This paper provides new lower and upper matrix bounds of the solution to the discrete algebraic Ricc...
AbstractA new bound on the “size” of the variation of the solution of the normal Lyapunov equation u...
In dynamical systems studies, the so-called Riccati and Lyapunov equations play an important role in...
We investigate the numerical solution of the stable generalized Lyapunov equation via the sign funct...
In this paper, new upper matrix bounds for the solution of the continuous algebraic Riccati equation...
In this paper, new upper matrix bounds for the solution of the continuous algebraic Riccati equation...
AbstractWe discuss the numerical solution and perturbation theory for the generalized continuous-tim...