A New Sufficient Criterion for the Stability of 2-D Discrete Systems
| Autor: | A. Tawfik, Apostolos Kanellakis |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
0209 industrial biotechnology
sufficient condition General Computer Science polynomials Stability criterion 02 engineering and technology Stability (probability) Transfer function 020901 industrial engineering & automation Simple (abstract algebra) 0202 electrical engineering electronic engineering information engineering Applied mathematics General Materials Science Electrical and Electronic Engineering BIBO stability Representation (mathematics) Characteristic polynomial Mathematics General Engineering 020206 networking & telecommunications stability TK1-9971 Frequency domain transfer function Electrical engineering. Electronics. Nuclear engineering 2-D discrete systems |
| Zdroj: | IEEE Access, Vol 9, Pp 70392-70395 (2021) |
| ISSN: | 2169-3536 |
| DOI: | 10.1109/access.2021.3078076 |
| Popis: | During the past few decades, two and higher dimensional systems have been extensively applied in many areas of research. The representation of the 2-D systems in the frequency domain is usually given by its transfer function. The bounded-input bounded-output (BIBO) stability of the two dimensional discrete systems depends on the zeros of the characteristic polynomial which is the denominator of this transfer function. In this paper, a new sufficient criterion for the stability of two-dimensional linear shift-invariant discrete systems is presented. The new criterion is based on the sufficient condition for stable polynomials with complex coefficients and the stability criterion for 2-D discrete systems proposed by Murray and Delsarte et al.. The new criterion is non-conservative for the stability testing of 2-D discrete systems. It is shown that the proposed sufficient criterion is simple enough to be applied for the stability checking of the 2-D discrete systems. The utility of the proposed criterion is demonstrated by examples. |
| Databáze: | OpenAIRE |
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