Equivalent 2-D nonsingular Roesser models for discrete linear repetitive processes

ABSTRACT

The elementary operations algorithm is used to establish that a system matrix describing a discrete linear repetitive process can be transformed to that of a 2-D nonsingular Roesser model where all the input–output properties are preserved. Moreover, the connection between these system matrices is shown to be input–output equivalence. The exact forms of the resulting system matrix and the transformation involved are established. Some areas for possible future use/application of the developed results are also briefly discussed.

KEYWORDS:

• Linear repetitive processes
• 2-D discrete systems
• system matrix
• 2-D non-singular Roesser form
• input–output equivalence

Acknowledgments

The authors wish to express their thanks to Sultan Qaboos University (Oman) for their support in carrying out this research work. Also, this work is partially supported by National Science Centre in Poland, grant No. 2015/17/B/ST7/03703.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

National Science Centre in Poland [grant number 2015/17/B/ST7/03703].