Applied Interval Analysis: With Examples in Parameter and State Estimation, Robust Control and Robotics

Book Details:

• Publisher: Springer

• Author: Luc Jaulin

• Language: English

• Binding: Paperback

• Edition: Softcover reprint of the original 1st Edition (2001)

• ISBN: 9781447110675

• Number of Pages: 379

• Dimensions: 9.1 x 6.1 x 1.0 inches

• Release Date: 30-08-2012

About The Book:

"Interval Analysis for Engineering Problems" by Luc Jaulin addresses the crucial role of solving sets of equations, inequalities, and optimizing cost functions in engineering. It delves into the limitations of traditional numerical methods, especially in cases where results may be local and unreliable. Jaulin introduces interval analysis as an effective method to obtain guaranteed approximations of all actual solutions to these problems, offering a way to ensure global minimization and the accurate detection of solutions.

The book presents interval analysis as a powerful tool that can be part of any engineering numerical toolkit, providing solutions to a wide range of problems that might otherwise elude traditional methods. The development of this book began with Jaulin’s PhD thesis in 1991 and continued with further collaborative work, making this an extensive guide on the subject.

Key Features:

• Interval Analysis for Guaranteed Solutions: Provides methods for ensuring that global minima or other solutions are found, avoiding the shortcomings of conventional numerical methods.

• Engineering Applications: Focuses on engineering problems involving optimization and the solving of equations and inequalities.

• Historical and Collaborative Development: The book evolved from years of research and collaboration, culminating in this comprehensive text on interval analysis.

• Practical Relevance: Suitable for use as a reference in engineering fields, with a focus on real-world applications of interval analysis to solve complex problems.

Ideal for:

• Engineering Students and Professionals: Anyone involved in engineering disciplines will find this book beneficial in solving complex numerical problems.

• Researchers in Numerical Methods: This book serves as a thorough guide for those looking to integrate interval analysis into their research or practical applications.

Conclusion:

"Interval Analysis for Engineering Problems" by Luc Jaulin offers an accessible yet deep dive into a powerful mathematical tool—interval analysis. By presenting interval techniques in a practical and applicable way, this book makes a significant contribution to engineering numerical methods, ensuring reliability and precision in solving complex equations and optimization problems.