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.
|Digital Object Identifier (DOI):||doi:10.1007/BF01827812|
|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
|Date Deposited:||07 Mar 2004|
|Last Modified:||27 Mar 2014 19:54|
|Further Information:||Google Scholar|
|ISI Citation Count:||5|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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