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Asymptotical time response of time varying state space dynamic using homotopy perturbation method

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Abstract

The main goal of this study is to present a technique to find a state response of multivariable time varying systems. In this paper a novel Homotopy Perturbation based Method (HPM) will be presented to find a dynamic response of time varying system. According to this method, the linear part of the described system is partitioned into two time varying and invariant subsections. Time invariant part analytically constructs the state transition matrix. This matrix is a core of the rest of time varying differential equation without any further changes in a sequence order. The main advantage of this method is only the necessity to solve the time invariant part of the state transition matrix. Simulation results verify the significance of the proposed analytic and asymptotic method.

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Authors and Affiliations

  1. Young Researcher Club, Tehran, Iran

    F. Abdous

  2. Faculty of Electrical and Computer Engineering, Babol (Noushirvani) University of Technology, P.O. Box 47135-484, Babol, Iran

    F. Abdous, R. Ghaderi, A. Ranjbar, S. H. Hosseinnia, H. Soltani & J. Ghasemi

Authors
  1. F. Abdous
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  2. R. Ghaderi
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  3. A. Ranjbar
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  4. S. H. Hosseinnia
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  5. H. Soltani
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  6. J. Ghasemi
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Corresponding author

Correspondence to A. Ranjbar.

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Abdous, F., Ghaderi, R., Ranjbar, A. et al. Asymptotical time response of time varying state space dynamic using homotopy perturbation method. J. Appl. Math. Comput. 31, 151–163 (2009). https://doi.org/10.1007/s12190-008-0198-1

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  • DOI: https://doi.org/10.1007/s12190-008-0198-1

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