Coprime linear arrays (CLAs) have drawn lots of attention. Efforts been made to reveal the hole locations in difference coarrays CLAs, based on which many methods proposed fill holes, lengthening consecutive coarray part and increasing effective degrees freedom (DOFs). Compared with two dimensional (2D) coprime planar (CPAs) are more relevant real applications. However, no closed-form expressio...

In this paper we will introduce the notion of coprime hyperideals in multiplicative hyperrings and we will show some properties of them. Then we introduce the notion of hyperring of fractions generated by a multiplicative hyperring and then we will show some properties of them.

Coprime array for direction of arrivals finding has attracted increasing interest since it can provide enhanced degrees freedom. However, due to the holes in difference coarray, available information is not fully exploited. In this paper, we propose a rearranged coprime configuration fill coarray. The proposed new allows filling and reducing mutual coupling effect at same time. We classify all ...

The performance of robust controllers hinges on the underlyingmodel set. The aim of the present paper is to develop a system identification procedure that enables the design of a controller that achieves optimal robust performance. Hereto, the complex interrelation between system identification and robust control is thoroughly analyzed and novel connections are established between (i) control-r...

We consider a team of k identical, oblivious, and semi-synchronous mobile robots that are able to sense (i.e., view) their environment, yet are unable to communicate, and evolve on a constrained path. Previous results in this weak scenario show that initial symmetry yields high lower bounds when problems are to be solved by deterministic robots. In this paper, we initiate research on probabilis...

This paper addresses the problem of checking the consistency of experimental closed-loop frequency-domain data with uncertainty models that are structured using coprime factorizations. The uncertainty models presented in this paper use the knowledge of a stabilizing feedback controller to structure and formulate the uncertainty on a model. Subsequently, the controller dependent coprime factor u...

A basic requirement of robust control theory is that a nominal model and an uncertainty model be available for the plant. The assumption is that the plant can be modeled by at least one of the perturbations of the nominal model in the uncertainty set. This raises the problem of constructing such an uncertainty set that would be consistent with a given set of experimental input-output data. This...

In this paper, the authors solve the open problem of the existence of double coprime factorizations for a large class of multiinput/multi-output (MIMO) three-dimensional (3-D) linear systems. It is proven that if all the unstable zeros of the contents associated with a left and a right matrix fraction descriptions of a given feedback stabilizable causal MIMO 3-D plant are simple, then the plant...