In the past decades, Model Order Reduction (MOR) has demonstrated its robustness and
wide applicability for simulating large-scale mathematical models in engineering and the …

Efficient numerical algorithms for the solution of large and sparse matrix Riccati and
Lyapunov equations based on the low rank alternating directions implicit (ADI) iteration have …

This paper studies the problem of controlling complex networks, ie, the joint problem of
selecting a set of control nodes and of designing a control input to steer a network to a target …

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 today's technological world, physical and artificial processes are mainly described by
mathematical models, which can be used for simulation or control. These processes are …

Balanced truncation is one of the most common model reduction schemes. In this note, we
present a survey of balancing related model reduction methods and their corresponding …

This paper presents the Cholesky factor--alternating direction implicit (CF--ADI) algorithm,
which generates a low rank approximation to the solution X of the Lyapunov equation AX+ …

We study large‐scale, continuous‐time linear time‐invariant control systems with a sparse or
structured state matrix and a relatively small number of inputs and outputs. The main …

This monograph aims to provide a concise and comprehensive treatment of the basic theory
of algebraic Riccati equations and a description of both the classical and the more advanced …

In this manuscript, system modeling and identification techniques are applied in developing
a prognostic yet deterministic model to forecast the spread of COVID-19 in India. The model …