In recent years, reduced-order modelling techniques based on Krylov-subspace iterations,
especially the Lanczos algorithm and the Arnoldi process, have become popular tools for …

This article presents a fairly up to date survey of the research literature relating to differential-
algebraic equations (DA Es) and their numerical solution In contrast to ordinary differential …

We start from the concept of reachable set to study Lhe state structure. Assume that
admissible control input is confined to u (t) EC hI which represents the (hl)-p'times piecewise …

Singular systems have been widely studied in the past two decades due to their extensive
applications in modelling and control of electrical circuits, power systems, economics and …

In the last 30 years, differential-algebraic equations have become a widely accepted tool for
the modeling and simulation of constrained dynamical systems in numerous applications …

A survey of linear singular systems Page 1 CIRCUITS SYSTEMS SIGNAL PROCESS Vot. 5,
NO. I, 1986 A SURVEY oF L AR SINGULAR SYSTEMS* FL Lewis ~ Abstract. This paper is a …

This paper considers the H∞ control problem for descriptor systems that possibly have
impulsive modes and/or jω-axis zeros. First, we propose matrix inequalities that give a …

A framework for the solution of the generalized realization problem Page 1 Linear Algebra and
its Applications 425 (2007) 634–662 www.elsevier.com/locate/laa A framework for the solution …

In this paper, the problems of output tracking control and filtering are investigated for Takagi-
Sugeno fuzzy-approximation-based nonlinear descriptor systems in the discrete-time …

Interplay between matrix theory and matroid theory is the main theme of this book, which
offers a matroid-theoretic approach to linear algebra and, reciprocally, a linear-algebraic …