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

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), 179-194. (doi:10.1007/BF01827812).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1007/BF01827812
ISSNs: 0923-6082 (print)
1573-0824 (electronic)
Keywords: linear repetitive processes, dynamic boundary conditions, behavioral approach
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Southampton Wireless Group
ePrint ID: 252547
Accepted Date and Publication Date:
April 1996Published
Date Deposited: 07 Mar 2004
Last Modified: 31 Mar 2016 13:53
Further Information:Google Scholar

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