Abstract: Motivated by the fact that upper solution bounds for the continuous Lyapunov equation are valid under some very restrictive conditions, an attempt is made to extend the set of Hurwitz matrices for which such bounds are applicable. It is shown that the matrix set for which solution bounds are available is only a subset of another stable matrices set. This helps to loosen the validity restriction. The new bounds are illustrated by examples
AbstractCertain aspects of stable Lyapunov operators can be easily studied by exploiting the lineari...
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/96...
We propose new upper and lower matrix bounds for the solution of the continuous algebraic Riccati eq...
Motivated by the fact that upper solution bounds of the continuous Lyapunov equation are valid under...
ABSTRACT: This paper deals with the estimation of the solution of the continuous algebraic Lyapunov ...
An alwaysvalid upper matrix bound for the solution of the continuous Lyapunov equation is proposed. ...
In this paper, we provide a bound of the continuous ARE solution in terms of a matrix associated wit...
New lower matrix bounds are derived for the solution of the continuous algebraic Lyapunov equation (...
Abstract: A new upper trace bound, which generalizes the best available similar estimates, improves ...
This paper provides new lower and upper matrix bounds of the solution to the discrete algebraic Ricc...
The estimation of the positive definite solutions to perturbed discrete Lyapunov equations is discu...
In this study, by constructing different equivalent forms of the continuous algebraic Riccati matrix...
In this paper, new upper matrix bounds for the solution of the continuous algebraic Riccati equation...
In dynamical systems studies, the so-called Riccati and Lyapunov equations play an important role in...
In this paper, new upper matrix bounds for the solution of the continuous algebraic Riccati equation...
AbstractCertain aspects of stable Lyapunov operators can be easily studied by exploiting the lineari...
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/96...
We propose new upper and lower matrix bounds for the solution of the continuous algebraic Riccati eq...
Motivated by the fact that upper solution bounds of the continuous Lyapunov equation are valid under...
ABSTRACT: This paper deals with the estimation of the solution of the continuous algebraic Lyapunov ...
An alwaysvalid upper matrix bound for the solution of the continuous Lyapunov equation is proposed. ...
In this paper, we provide a bound of the continuous ARE solution in terms of a matrix associated wit...
New lower matrix bounds are derived for the solution of the continuous algebraic Lyapunov equation (...
Abstract: A new upper trace bound, which generalizes the best available similar estimates, improves ...
This paper provides new lower and upper matrix bounds of the solution to the discrete algebraic Ricc...
The estimation of the positive definite solutions to perturbed discrete Lyapunov equations is discu...
In this study, by constructing different equivalent forms of the continuous algebraic Riccati matrix...
In this paper, new upper matrix bounds for the solution of the continuous algebraic Riccati equation...
In dynamical systems studies, the so-called Riccati and Lyapunov equations play an important role in...
In this paper, new upper matrix bounds for the solution of the continuous algebraic Riccati equation...
AbstractCertain aspects of stable Lyapunov operators can be easily studied by exploiting the lineari...
This work was also published as a Rice University thesis/dissertation: http://hdl.handle.net/1911/96...
We propose new upper and lower matrix bounds for the solution of the continuous algebraic Riccati eq...