Stochastic Dynamics and Control
eBook - PDF

Stochastic Dynamics and Control

  1. 426 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Stochastic Dynamics and Control

About this book

This book is a result of many years of author's research and teaching on random vibration and control. It was used as lecture notes for a graduate course. It provides a systematic review of theory of probability, stochastic processes, and stochastic calculus. The feedback control is also reviewed in the book. Random vibration analyses of SDOF, MDOF and continuous structural systems are presented in a pedagogical order. The application of the random vibration theory to reliability and fatigue analysis is also discussed. Recent research results on fatigue analysis of non-Gaussian stress processes are also presented. Classical feedback control, active damping, covariance control, optimal control, sliding control of stochastic systems, feedback control of stochastic time-delayed systems, and probability density tracking control are studied. Many control results are new in the literature and included in this book for the first time. The book serves as a reference to the engineers who design and maintain structures subject to harsh random excitations including earthquakes, sea waves, wind gusts, and aerodynamic forces, and would like to reduce the damages of structural systems due to random excitations.Ā· Comprehensive review of probability theory, and stochastic processesĀ· Random vibrationsĀ· Structural reliability and fatigue, Non-Gaussian fatigueĀ· Monte Carlo methodsĀ· Stochastic calculus and engineering applicationsĀ· Stochastic feedback controls and optimal controlsĀ· Stochastic sliding mode controlsĀ· Feedback control of stochastic time-delayed systemsĀ· Probability density tracking control

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Yes, you can access Stochastic Dynamics and Control by Jian-Qiao Sun in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Front cover
  2. Table of contents
  3. Preface
  4. Chapter 1. Introduction
  5. Chapter 2. Probability Theory
  6. Chapter 3. Stochastic Processes
  7. Chapter 4. Spectral Analysis of Stochastic Processes
  8. Chapter 5. Stochastic Calculus
  9. Chapter 6. Fokker-Planck-Kolmogorov Equation
  10. Chapter 7. Kolmogorov Backward Equation
  11. Capter 8. Random Vibration of SDOF Systems
  12. Chapter 9. Random Vibration of MDOF Discrete Systems
  13. Chapter 10. Random Vibration of Continuous Structures
  14. Chapter 11. Structural Reliability
  15. Chapter 12. Monte Carlo Simulation
  16. Chapter 13. Elements of Feedback Controls
  17. Chapter 14. Feedback Control of Stochastic Systems
  18. Chapter 15. Concepts of Optimal Controls
  19. Chapter 16. Stochastic Optimal Control with the GCM Method
  20. Chapter 17. Sliding Mode Control
  21. Chapter 18. Control of Stochastic Systems with Time Delay
  22. Chapter 19. Probability Density Function Control
  23. Appendix A. Matrix Computation
  24. Appendix B. Laplace Transformation
  25. Bibliography
  26. Subject Index