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On the Stability of Linear Repetitive Processes described by a Delay-Difference Equation

On the Stability of Linear Repetitive Processes described by a Delay-Difference Equation
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 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.
359-363
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6
Rogers, E
611b1de0-c505-472e-a03f-c5294c63bb72
Owens, D H
d1838c62-b96e-4710-9e5a-ed097fae28f6

Rogers, E and Owens, D H (2004) On the Stability of Linear Repetitive Processes described by a Delay-Difference Equation. IEEE Transactions on Circuits and Systems Part 1: Fundamental Theory and Applications, 51 (7), 359-363.

Record type: Article

Abstract

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.

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Published date: 2004
Organisations: Southampton Wireless Group

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Local EPrints ID: 258944
URI: https://eprints.soton.ac.uk/id/eprint/258944
PURE UUID: 7257a4b4-ebf8-4aa4-94ee-c5a5ff90f099
ORCID for E Rogers: ORCID iD orcid.org/0000-0003-0179-9398

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Date deposited: 10 Oct 2004
Last modified: 20 Jul 2019 01:23

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Contributors

Author: E Rogers ORCID iD
Author: D H Owens

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