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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®

  • 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
  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

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

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access