Interval Analysis: Application in the Optimal Control Problems


Interval Analysis: Application in the Optimal Control Problems
Author: Navid Razmjooy (Author)
Publisher finelybook 出版社:‏ Wiley-IEEE Press
Publication Date 出版日期:‏ 2023-12-20
Edition 版本:‏ 1st
Language 语言: English
Print Length 页数: 208
ISBN-10: 1394190972
ISBN-13: 9781394190973

Book Description


Interval Analysis

An innovative and unique application of interval analysis to optimal control problems

In Interval Analysis: Application in the Optimal Control Problems, celebrated researcher and engineer Dr. Navid Razmjooy delivers an expert discussion of the uncertainties in the analysis of optimal control problems. In the book, Dr. Razmjooy uses an open-ended approach to solving optimal control problems with indefinite intervals. Utilizing an extended, Runge-Kutta method, the author demonstrates how to accelerate its speed with the piecewise function.

You’ll find recursive methods used to achieve more compact answers, as well as how to solve optimal control problems using the interval Chebyshev’s function. The book also contains:

  • A thorough introduction to common errors and mistakes, generating uncertainties in physical models
  • Comprehensive explorations of the literature on the subject, including Hukurara’s derivatives
  • Practical discussions of the interval analysis and its variants, including the classical (Minkowski) methods
  • Complete treatments of existing control methods, including classic, conventional advanced, and robust control.

Perfect for master’s and PhD students working on system uncertainties, Interval Analysis: Application in the Optimal Control Problems will also benefit researchers working in laboratories, universities, and research centers.

An innovative and unique application of interval analysis to optimal control problems

In Interval Analysis: Application in the Optimal Control Problems, celebrated researcher and engineer Dr. Navid Razmjooy delivers an expert discussion of the uncertainties in the analysis of optimal control problems. In the book, Dr. Razmjooy uses an open-ended approach to solving optimal control problems with indefinite intervals. Utilizing an extended, Runge-Kutta method, the author demonstrates how to accelerate its speed with the piecewise function.

You’ll find recursive methods used to achieve more compact answers, as well as how to solve optimal control problems using the interval Chebyshev’s function. The book also contains:

  • A thorough introduction to common errors and mistakes, generating uncertainties in physical models
  • Comprehensive explorations of the literature on the subject, including Hukurara’s derivatives
  • Practical discussions of the interval analysis and its variants, including the classical (Minkowski) methods
  • Complete treatments of existing control methods, including classic, conventional advanced, and robust control.

Perfect for master’s and PhD students working on system uncertainties, Interval Analysis: Application in the Optimal Control Problems will also benefit researchers working in laboratories, universities, and research centers.

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