Special issue on Multidimensional systems theory and control

Abstract

Multidimensional systems and signal processing is, todaymore than ever before, a very lively research area, which attracts a great deal of attention and research interest, both in the control and signal processing communities. Indeed, an increasingly wider research community devotes much of its efforts to the solution of control, estimation and signal processing problems involving multidimensional systems. This is undoubtedly motivated by the fact that this area plays a crucial role in a variety of applications, ranging from remote sensing for environmental monitoring and geological mapping, to medical imaging and the automatic control of industrial processes. The impact that this topic has shown in recent years in events such as the International Symposium on Mathematical Theory of Networks and Systems (MTNS), and the importance of other events entirely devoted to this topic, such as the International Workshop onMultidimensional Systems (nDS), are a clear evidence of the increasing interest that this area attracts within the control, signal processing and mathematics communities. The broad range of application areas for multidimensional systems and signal processing, the great need to tackle unsolved fundamental mathematical problems within this area, and the ever increasing capacity of computing technologies, provide substantial motivation for further development of the underlying mathematical tools. Motivated by these facts, this Special Issue aims at providing an overview of several recent developments in this wide area. The contributions selected for this Special Issue clearly display the broad scope of multidimensional systems, from open mathematical