The problem of model reduction by moment matching for linear and nonlinear differential
time-delay systems is studied. The class of models considered includes neutral differential …

In this article, a new model order reduction scheme is proposed for the simplification of large-
scale linear dynamical models. The proposed technique is based on the balanced …

In this paper, we present an efficient model reduction method for discrete time-delay systems
based on the expansions of systems under Charlier polynomials. Making full use of the …

We propose a novel approach for the optimization of the H 2 norm for time-delay systems,
grounded in its characterization in terms of the delay Lyapunov matrix. We show how the …

In this paper, the balanced truncation method is investigated for discrete time-delay systems.
We show that the energy associated with the system controllability and observability can be …

Abstract Model order reduction methods via high-order Krylov subspace for bilinear time-
delay systems are developed in this paper. The proposed methods are based on the …

We investigate model order reduction for discrete time-delay systems via orthogonal
polynomial expansion in the frequency domain. The transfer function of systems is …

This paper proposes a model order reduction technique for asymptotically stable linear time
delay systems with point-wise delays. The presented delay-dependent approach, which can …

In this paper, we present a novel method for approximating bilinear time-delay systems by
bilinear systems with no delay. This is performed by means of matching some input-output …

This paper presents a Laguerre-based model reduction method for time-delay systems,
which naturally retains the second-order-structure of original systems. We expand time …