State-space modelling of dynamic systems using Hankel matrix representation

H. Olkkonen; S. Ahtiainen; Juuso Olkkonen; P. Pesola

State-space modelling of dynamic systems using Hankel matrix representation

H. Olkkonen^*, S. Ahtiainen, Juuso Olkkonen, P. Pesola

^*Corresponding author for this work

University of Eastern Finland

Research output: Contribution to journal › Article › Scientific › peer-review

Abstract

In this work a dynamic state-space model was constructed using a Hankel matrix formulation. A novel update algorithm for computation of the state transition matrix and its eigenvalues was developed. The method suits for analysis and synthesis of the rapidly changing dynamic systems and signals corrupted with additive random noise. The knowledge of the time varying state transition matrix and its eigenvalues enables accurate and precise numerical operators such as differentiation and integration in the presence of noise.

Original language	English
Pages (from-to)	112-115
Journal	International Journal of Computer Science & Emerging Technologies
Volume	1
Issue number	4
Publication status	Published - 2010
MoE publication type	A1 Journal article-refereed

Keywords

State-space modelling
dynamic systems analysis

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http://www.ijcset.excelingtech.co.uk/vol1issue4/18-vol1issue4.pdf

Cite this

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title = "State-space modelling of dynamic systems using Hankel matrix representation",

abstract = "In this work a dynamic state-space model was constructed using a Hankel matrix formulation. A novel update algorithm for computation of the state transition matrix and its eigenvalues was developed. The method suits for analysis and synthesis of the rapidly changing dynamic systems and signals corrupted with additive random noise. The knowledge of the time varying state transition matrix and its eigenvalues enables accurate and precise numerical operators such as differentiation and integration in the presence of noise.",

keywords = "State-space modelling, dynamic systems analysis",

author = "H. Olkkonen and S. Ahtiainen and Juuso Olkkonen and P. Pesola",

year = "2010",

language = "English",

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journal = "International Journal of Computer Science \& Emerging Technologies",

issn = "2044-6004",

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TY - JOUR

T1 - State-space modelling of dynamic systems using Hankel matrix representation

AU - Olkkonen, H.

AU - Ahtiainen, S.

AU - Olkkonen, Juuso

AU - Pesola, P.

PY - 2010

Y1 - 2010

N2 - In this work a dynamic state-space model was constructed using a Hankel matrix formulation. A novel update algorithm for computation of the state transition matrix and its eigenvalues was developed. The method suits for analysis and synthesis of the rapidly changing dynamic systems and signals corrupted with additive random noise. The knowledge of the time varying state transition matrix and its eigenvalues enables accurate and precise numerical operators such as differentiation and integration in the presence of noise.

AB - In this work a dynamic state-space model was constructed using a Hankel matrix formulation. A novel update algorithm for computation of the state transition matrix and its eigenvalues was developed. The method suits for analysis and synthesis of the rapidly changing dynamic systems and signals corrupted with additive random noise. The knowledge of the time varying state transition matrix and its eigenvalues enables accurate and precise numerical operators such as differentiation and integration in the presence of noise.

KW - State-space modelling

KW - dynamic systems analysis

M3 - Article

SN - 2044-6004

VL - 1

SP - 112

EP - 115

JO - International Journal of Computer Science & Emerging Technologies

JF - International Journal of Computer Science & Emerging Technologies

IS - 4

ER -

State-space modelling of dynamic systems using Hankel matrix representation

Abstract

Keywords

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