This paper develops a solution method for modified Lyapunov equations in which the modification term $\mathcal{F}( Q )$ is a linear function of the solution ...

Abstract: A numerical procedure is presented for efficient solution of linearly coupled sets of Lyapunov equations. Such equations arise in the iterative ...

A numerical procedure is presented for the efficient solution of sets of linearly coupled matrix Lyapunov equations. Such equations arise in numerical ...

Abstract: Sequences of parametrized Lyapunov equations can be encountered in many application settings. Moreover, solutions of such equations are often ...

Introduction. The algebraic Riccati equation AT P +PA−PBP +C = 0 has played a central role in modern control theory. For example, the central computation.

A parallel algorithm for solving systems of coupled Lyapunov equations associated with linear jump parameter systems is introduced.

Ab st ract. A numerical procedure is presented for efficient solution of' linearly coupled sets of Lyapunov equa- tions. Such equations arise in the ...

Abstract. This paper is concerned with the numerical solution of symmetric large-scale Lya- punov equations with low-rank right-hand sides and coefficient ...

We propose a new algorithm for the solution of the delay Lyapunov equation. Our method is based on the fact that the delay Lyapunov equation can be expressed as ...

This article discusses the solution of continuous coupled Lyapunov equations via iterative techniques. By the principle of the Newton iterative approach, an ...