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Lyapunov stability theory and performance bounds for a class of 2D linear systems

Record type: Article

Repetitive processes are a class of 2D systems characterised by a series of sweeps, or passes, through dynamics defined over a finite fixed duration with explicit interaction between successive outputs. The unique control problem is that the output sequence can contain oscillations which increase in amplitude from pass to pass. In this paper, a new Lyapunov equation based stability result is developed for one sub-class of practical interest together with a detailed treatment of how it can be tested, This result is then used to derive bounds on expected system performance.

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Citation

Rogers, E. and Owens, D.H. (1996) Lyapunov stability theory and performance bounds for a class of 2D linear systems Multidimensional Systems and Signal Processing, 7, (2), pp. 179-194. (doi:10.1007/BF01827812).

More information

Published date: April 1996
Keywords: linear repetitive processes, dynamic boundary conditions, behavioral approach
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 252547
URI: http://eprints.soton.ac.uk/id/eprint/252547
PURE UUID: b6aa0f81-e73c-44da-9130-0e93ca5b3a5e

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Date deposited: 07 Mar 2004
Last modified: 18 Jul 2017 10:03

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Contributors

Author: E. Rogers
Author: D.H. Owens

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