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 …

In this paper, we investigate a recently introduced approach for nonlinear model order
reduction based on generalized moment matching. Using basic tensor calculus, we propose …

In this paper, we discuss the model order reduction problem for descriptor systems, that is,
systems with dynamics described by differential-algebraic equations. We focus on linear …

In this work we obtain closed-form expression for the solution of non-symmetric algebraic
Riccati equation (NARE), A X+ X B+ XCX= D, A, B, C, D∈ ℂ n× n, under some conditions on …

In this article a boundary feedback stabilization approach for incompressible Navier--Stokes
flows is studied. One of the main difficulties encountered is the fact that after space …

We propose efficient algorithms for solving large-scale matrix differential equations. In
particular, we deal with the differential Riccati equations (DRE) and state the applicability to …

These days, computer-based simulation is considered the quintessential approach to
exploring new ideas in the different disciplines of science, engineering and technology …

In order to apply control theory in small autonomous vehicles, mathematical models with
small numbers of states are required for using the limited computational power in embedded …

This paper introduces a new algorithm for solving large-scale continuous-time algebraic
Riccati equations (CARE). The advantage of the new algorithm is in its immediate and …