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

Theory and Algorithms with MATLAB®

  • Book
  • © 2016

Overview

Authors:
  1. Anish Deb

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

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  2. Srimanti Roychoudhury

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

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    You can also search for this author in PubMed   Google Scholar

  3. Gautam Sarkar

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

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  • Deals with a new kind of orthogonal function set Hybrid Functions HF
  • Uses HF for solving differential equations and for treating control system analysis and identification problems
  • Presents an analysis of different systems---namely, time-invariant system, time-varying system, multiple delay systems

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

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xxi
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  2. Non-sinusoidal Orthogonal Functions in Systems and Control

    • Anish Deb, Srimanti Roychoudhury, Gautam Sarkar
    Pages 1-23

  3. The Hybrid Function (HF) and Its Properties

    • Anish Deb, Srimanti Roychoudhury, Gautam Sarkar
    Pages 25-48

  4. Function Approximation via Hybrid Functions

    • Anish Deb, Srimanti Roychoudhury, Gautam Sarkar
    Pages 49-86

  5. Integration and Differentiation Using HF Domain Operational Matrices

    • Anish Deb, Srimanti Roychoudhury, Gautam Sarkar
    Pages 87-114

  6. One-Shot Operational Matrices for Integration

    • Anish Deb, Srimanti Roychoudhury, Gautam Sarkar
    Pages 115-140

  7. Linear Differential Equations

    • Anish Deb, Srimanti Roychoudhury, Gautam Sarkar
    Pages 141-166

  8. Convolution of Time Functions

    • Anish Deb, Srimanti Roychoudhury, Gautam Sarkar
    Pages 167-184

  9. Time Invariant System Analysis: State Space Approach

    • Anish Deb, Srimanti Roychoudhury, Gautam Sarkar
    Pages 185-220

  10. Time Varying System Analysis: State Space Approach

    • Anish Deb, Srimanti Roychoudhury, Gautam Sarkar
    Pages 221-239

  11. Multi-delay System Analysis: State Space Approach

    • Anish Deb, Srimanti Roychoudhury, Gautam Sarkar
    Pages 241-270

  12. Time Invariant System Analysis: Method of Convolution

    • Anish Deb, Srimanti Roychoudhury, Gautam Sarkar
    Pages 271-287

  13. System Identification Using State Space Approach: Time Invariant Systems

    • Anish Deb, Srimanti Roychoudhury, Gautam Sarkar
    Pages 289-305

  14. System Identification Using State Space Approach: Time Varying Systems

    • Anish Deb, Srimanti Roychoudhury, Gautam Sarkar
    Pages 307-317

  15. Time Invariant System Identification: Via ‘Deconvolution’

    • Anish Deb, Srimanti Roychoudhury, Gautam Sarkar
    Pages 319-330

  16. System Identification: Parameter Estimation of Transfer Function

    • Anish Deb, Srimanti Roychoudhury, Gautam Sarkar
    Pages 331-355

  17. Back Matter

    Pages 357-426
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Keywords

About this book

This book introduces a new set of orthogonal hybrid functions (HF) which approximates time functions in a piecewise linear manner which is very suitable for practical applications.

The book presents an analysis of different systems namely, time-invariant system, time-varying system, multi-delay systems---both homogeneous and non-homogeneous type- and the solutions are obtained in the form of discrete samples. The book also investigates system identification problems for many of the above systems. The book is spread over 15 chapters and contains 180 black and white figures, 18 colour figures, 85 tables and 56 illustrative examples. MATLAB codes for many such examples are included at the end of the book.

Authors and Affiliations

  • Department of Applied Physics, University of Calcutta, Kolkata, India

    Anish Deb, Gautam Sarkar

  • Department of Electrical Engineering, Budge Budge Institute of Technology, Kolkata, India

    Srimanti Roychoudhury

Bibliographic Information

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

  • Book Subtitle: Theory and Algorithms with MATLAB®

  • Authors: Anish Deb, Srimanti Roychoudhury, Gautam Sarkar

  • Series Title: Studies in Systems, Decision and Control

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

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-26682-4Published: 14 January 2016

  • Softcover ISBN: 978-3-319-79997-1Published: 30 March 2018

  • eBook ISBN: 978-3-319-26684-8Published: 05 January 2016

  • Series ISSN: 2198-4182

  • Series E-ISSN: 2198-4190

  • Edition Number: 1

  • Number of Pages: XXI, 426

  • Number of Illustrations: 18 b/w illustrations, 151 illustrations in colour

  • Topics: Computational Intelligence, Control and Systems Theory, Complexity

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