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Linear Differential Equations

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Analysis and Identification of Time-Invariant Systems, Time-Varying Systems, and Multi-Delay Systems using Orthogonal Hybrid Functions

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 46))

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Abstract

This chapter is devoted to linear differential equations . That is, it presents the solution of first order differential equations using both HF domain differentiation operational matrices and integration operational matrices. Higher order differential equations are also solved via the same first order operational matrices, and again employing one-shot integration matrices. The results are compared by way of treating five examples. Eleven figures are presented as illustration of the HF domain techniques.

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Authors and Affiliations

  1. Department of Applied Physics, University of Calcutta, Kolkata, India

    Anish Deb & Gautam Sarkar

  2. Department of Electrical Engineering, Budge Budge Institute of Technology, Kolkata, India

    Srimanti Roychoudhury

Authors
  1. Anish Deb
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  2. Srimanti Roychoudhury
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  3. Gautam Sarkar
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Correspondence to Anish Deb .

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Deb, A., Roychoudhury, S., Sarkar, G. (2016). Linear Differential Equations. In: Analysis and Identification of Time-Invariant Systems, Time-Varying Systems, and Multi-Delay Systems using Orthogonal Hybrid Functions. Studies in Systems, Decision and Control, vol 46. Springer, Cham. https://doi.org/10.1007/978-3-319-26684-8_6

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  • DOI: https://doi.org/10.1007/978-3-319-26684-8_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26682-4

  • Online ISBN: 978-3-319-26684-8

  • eBook Packages: EngineeringEngineering (R0)

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