Systems & Control: Foundations & Applications

Stability Analysis of Nonlinear Systems

Authors: Lakshmikantham, Vangipuram, Leela, Srinivasa, Martynyuk, Anatoly A.

  • This references/text illuminates the most important results of the Lyapunov stability theory for several classes of equations of perturbed motion
  • It is first book that investigates stability theory in terms of two measures
  • It treats the theory of variety of inequalities, and demonstrates manifestations of the general Lyapunov method via scalar, vector and matrix-valued functions
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eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-27200-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-27199-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-319-80090-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme. It also demonstrates manifestations of the general Lyapunov method, showing how this technique can be adapted to various apparently diverse nonlinear problems. Furthermore it discusses the application of theoretical results to several different models chosen from real world phenomena, furnishing data that is particularly relevant for practitioners.
Stability Analysis of Nonlinear Systems is an invaluable single-sourse reference for industrial and applied mathematicians, statisticians, engineers, researchers in the applied sciences, and graduate students studying differential equations.

Reviews

“This text is published by Birkhäuser in the systems and control series. … The text is of most value to academics, researchers and students working in nonlinear systems.” (ACTC applied control technology consortium, actc-control.com, March, 2016)

Table of contents (5 chapters)

  • Inequalities

    Lakshmikantham, Vangipuram (et al.)

    Pages 1-66

  • Variation of Parameters and Monotone Technique

    Lakshmikantham, Vangipuram (et al.)

    Pages 67-134

  • Stability of Motion in Terms of Two Measures

    Lakshmikantham, Vangipuram (et al.)

    Pages 135-200

  • Stability of Perturbed Motion

    Lakshmikantham, Vangipuram (et al.)

    Pages 201-252

  • Stability In The Models of Real World Phenomena

    Lakshmikantham, Vangipuram (et al.)

    Pages 253-309

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-27200-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-27199-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-319-80090-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Stability Analysis of Nonlinear Systems
Authors
Series Title
Systems & Control: Foundations & Applications
Copyright
2015
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-27200-9
DOI
10.1007/978-3-319-27200-9
Hardcover ISBN
978-3-319-27199-6
Softcover ISBN
978-3-319-80090-5
Series ISSN
2324-9749
Edition Number
2
Number of Pages
XI, 329
Topics