An overview of Delta operator systems

Concerning the basic theory of Delta operator systems, we give a brief overview for its latest progress. Firstly, the background of Delta operator systems is introduced. Secondly, basic performances of Delta operator systems and performance comparisons with traditional shift operator discrete-time systems are given subsequently. Thirdly, some recent results on robust control, filter design, time delays and fault detection are presented for Delta operator systems. Fourthly, some perspective researches are proposed for Delta operator systems in finite frequency and networked control. Finally, a numerical example is given to illustrate the advantages of Delta operator systems in numerical properties at high sampling rates.