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Recursive relaxation identification of linear multivariable systems with its parallel algorithm

Authors: Mi Lu; Kunlin Liu;

Recursive relaxation identification of linear multivariable systems with its parallel algorithm

Abstract

In this paper, we propose a new method for the identification of discrete-time linear multivariable systems. This method comprises three recursive computation schemesincluding two parameter estimate schemes for both state equation and observation equation, respectively, and the state estimate scheme via Kalman filtering. We call thismethod the recursive relaxation identification, abbreviated as RRI. Compared with the existing methods, the RRI algorithm has advantages of simplification, fast computation,and high efficiency, and is suitable for fast real-time on-line adaptive identification of linear multivariable systems.

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Keywords

PRAM, thrashing, linear discrete-time multivariable system, Parallel algorithms, Mesh-Connected Computer, nCUBE, Computer System Architecture, Multivariable systems, multidimensional control systems, Parallel numerical computation, polynomial product, recursive least squares, identification, System identification, Kalman filtering, data compression, Analysis of Algorithms and Complexity

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green