Preface to Second Edition From the time that the original edition was published in 1985,
multidimensional systems theory has matured into a discipline of research and teaching with …

Feedback control of two-dimensional (2-D) systems is a problem of considerable importance
in both theory and practical applications. In this paper, we present a state-space solution to …

This paper is a tutorial on Grobner bases and a survey on the applications of Grobner bases
in the broad field of signals and systems. A reasonably detailed review is given of several …

This paper deals with output feedback stabilization and H∞ control problems for two-
dimensional (2-D) discrete linear systems without or with parameter uncertainty. The class of …

We present the basic concepts and results of Gröbner bases theory for readers working or
interested in systems theory. The concepts and methods of Gröbner bases theory are …

Kalman-Yakubovich-Popov (KYP) lemma has played a significant role in one-dimensional
systems theory. However, there has been no two-dimensional (2-D) KYP lemma in the …

This paper investigates the design problem of robust H∞ filtering for uncertain two-
dimensional (2D) continuous systems described by Roesser model with polytopic …

This paper gives a reasonably detailed review of advances in stability and stabilisation of
linear multidimensional (ND) discrete systems in the frequency domain. The emphasis is on …

The problems of delay-dependent robust stability and stabilisation for a class of uncertain
two-dimensional (2-D) discrete systems with time-varying delays described by the second …

This paper focuses on the structural stability and stabilisation of the continuous-discrete
fractional-order two-dimensional Fornasini-Marchesini first model. The sufficient and …