On the Stability of Linear Repetitive Processes described by a Delay-Difference Equation
This paper considers linear repetitive processes which are a distinct class of 2D continuous-discrete linear systems of both physical and systems theoretic interest. Their essential unique feature is a series of sweeps, termed passes, through a set of dynamics defined over a finite and fixed duratio...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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2004.
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| Subjects: | |
| Online Access: | Get fulltext |
| LEADER | 01171 am a22001333u 4500 | ||
|---|---|---|---|
| 001 | 258944 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Rogers, E |e author |
| 700 | 1 | 0 | |a Owens, D H |e author |
| 245 | 0 | 0 | |a On the Stability of Linear Repetitive Processes described by a Delay-Difference Equation |
| 260 | |c 2004. | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/258944/1/erdho.pdf | ||
| 520 | |a This paper considers linear repetitive processes which are a distinct class of 2D continuous-discrete linear systems of both physical and systems theoretic interest. Their essential unique feature is a series of sweeps, termed passes, through a set of dynamics defined over a finite and fixed duration known as the pass length. The result can be oscillations in the output sequence of pass profiles which increase in amplitude in the pass-to-pass direction. This cannot be controlled by existing techniques and instead control must be based on a suitably defined stability theory. In the literature to-date, the development of such a theory has been attempted from two different starting points and in this paper we critically compare these for dynamics defined by a delay-difference equation. | ||
| 655 | 7 | |a Article | |