Given the square matrices A,B,D,E and the matrix C of conforming dimensions, we consider
the linear matrix equation A\mathbfXE+D\mathbfXB=C in the unknown matrix \mathbfX. Our …

In this paper we propose a new projection method to solve large-scale continuous-time
Lyapunov matrix equations. The new approach projects the problem onto a much smaller …

Chemical master equations provide a mathematical description of stochastic reaction
kinetics in well-mixed conditions. They are a valid description over length scales that are …

The synthesis of suboptimal feedback laws for controlling nonlinear dynamics arising from
semi-discretized PDEs is studied. An approach based on the State-dependent Riccati …

We consider a mathematical model of a linear vibrational system described by the second‐
order differential equation M̈x+Ḋx+Kx=0, where M and K are positive definite matrices …

We investigate the numerical solution of stable Sylvester equations via iterative schemes
proposed for computing the sign function of a matrix. In particular, we discuss how the …

We are concerned with stability of numerical methods for delay differential systems of neutral
type. In particular, delay-dependent stability of numerical methods is investigated. By means …

This article is concerned with the efficient numerical solution of the Lyapunov equation ATX+
XA=-C with a stable matrix A and a symmetric positive semidefinite matrix C of possibly …

We develop methods for computing verified solutions of Sylvester matrix equations AX+ XB=
C. To this purpose we propose a variant of the Krawczyk interval operator with a factorized …

SLICOT ist eine umfangreiche Softwarebibliothek zur numerischen Behandlung von
Fragestellungen aus der System-und Regelungstheorie, die mit dem Ziel entwickelt wurde …