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1421 results in Control systems and optimization

Page 35 of 72

Stability Regions of Nonlinear Dynamical Systems
  • Theory, Estimation, and Applications
  • Hsiao-Dong Chiang, Luís F. C. Alberto
  • Published online:
    05 September 2015
    Print publication:
    13 August 2015
  • This authoritative treatment covers theory, optimal estimation and a range of practical applications. The first book on the subject, and written by leading researchers, this clear and rigorous work presents a comprehensive theory for both the stability boundary and the stability regions of a range of nonlinear dynamical systems including continuous, discrete, complex, two-time-scale and non-hyperbolic systems, illustrated with numerical examples. The authors also propose new concepts of quasi-stability region and of relevant stability regions and their complete characterisations. Optimal schemes for estimating stability regions of general nonlinear dynamical systems are also covered, and finally the authors describe and explain how the theory is applied in applications including direct methods for power system transient stability analysis, nonlinear optimisation for finding a set of high-quality optimal solutions, stabilisation of nonlinear systems, ecosystem dynamics, and immunisation problems.

  • PART I - HELPFUL PRELIMINARIES

  • Achille Messac, Mississippi State University
  • Book:
    Optimization in Practice with MATLAB®
    Published online:
    28 May 2018
    Print publication:
    19 March 2015, pp 1-2

  • Summary

    Part I provides prerequisite information for using optimization in practice. Specifically, we need to use software and we need to have some basic knowledge of mathematics. This book uses Matlab as a computational tool. If you are new to Matlab or do not know it yet, Chapter 1 will provide you with the preparatory information to get started. If your mathematics knowledge is a bit rusty, Chapter 2 will provide you with the preparatory knowledge for optimization application.

    Specifically, the topics presented, with the chapter numbers, are given below:

  • Matlab® as a Computation Tool

  • Mathematical Preliminaries

  • PART II - USING OPTIMIZATION–THE ROAD MAP

  • Achille Messac, Mississippi State University
  • Book:
    Optimization in Practice with MATLAB®
    Published online:
    28 May 2018
    Print publication:
    19 March 2015, pp 71-72

  • Summary

    In the first part of the book, we dealt with some material that prepared us to begin learning optimization. Specifically, we learned about Matlab and about some basic mathematics. In this next portion of the book, we start to understand what optimization is all about. In particular, (i) we will be introduced to the fascinating world of optimization, (ii) we will differentiate optimization from other engineering activities (e.g., analysis and modeling), and, finally, (iii) we will provide an important classification of optimization, which is important to know in practice.

    Specifically, the topics presented, with the chapter numbers, are given below:

    3. Welcome to the Fascinating World of Optimization

    4. Analysis, Design, Optimization, and Modeling

    5. Introducing Linear and Nonlinear Programming

Page 35 of 72