Reachable Sets of Dynamic Systems: Uncertainty, Sensitivity, and Complex Dynamics introduces differential inclusions, providing an overview as well as multiple examples of its interdisciplinary applications. The design of dynamic systems of any type is an important issue as is the influence of uncertainty in model parameters and model sensitivity. The possibility of calculating the reachable sets may be a powerful additional tool in such tasks. This book can help graduate students, researchers, and engineers working in the field of computer simulation and model building, in the calculation of reachable sets of dynamic models.
1. Reachable Sets of Dynamic Systems - p. ii 2. Cover - p. ii 3. Front Matter - p. ii 4. Title Page - p. iii 5. Copyright - p. iv 6. Table of Contents - p. iv 7. About the author - p. ix 8. Preface - p. xi 9. Acknowledgments - p. xv 10. Chapter One Differential inclusions - p. 1 11. Chapter Two Differential inclusion solver - p. 31 12. Chapter Three Market optimization and uncertainty - p. 53 13. Chapter Four Uncertainty in stock markets - p. 85 14. Chapter Five Flight maneuver reachable sets - p. 99 15. Chapter Six Vessel dynamics and reachable sets - p. 109 16. Chapter Seven Mechanical systems: earthquakes and car suspensions - p. 119 17. Chapter Eight PID control: functional sensitivity - p. 139 18. Chapter Nine Speed control of an induction motor - p. 153 19. Chapter Ten Uncertainty in public health: epidemics - p. 167 20. Chapter Eleven Uncertain future: a trip - p. 181 21. Index - p. 193
Reachable Sets of Dynamic Systems: Uncertainty, Sensitivity, and Complex Dynamics introduces differential inclusions, providing an overview as well as multiple examples of its interdisciplinary applications. The design of dynamic systems of any type is an important issue as is the influence of uncertainty in model parameters and model sensitivity. The possibility of calculating the reachable sets may be a powerful additional tool in such tasks. This book can help graduate students, researchers, and engineers working in the field of computer simulation and model building, in the calculation of reachable sets of dynamic models.
1. Reachable Sets of Dynamic Systems - p. ii 2. Cover - p. ii 3. Front Matter - p. ii 4. Title Page - p. iii 5. Copyright - p. iv 6. Table of Contents - p. iv 7. About the author - p. ix 8. Preface - p. xi 9. Acknowledgments - p. xv 10. Chapter One Differential inclusions - p. 1 11. Chapter Two Differential inclusion solver - p. 31 12. Chapter Three Market optimization and uncertainty - p. 53 13. Chapter Four Uncertainty in stock markets - p. 85 14. Chapter Five Flight maneuver reachable sets - p. 99 15. Chapter Six Vessel dynamics and reachable sets - p. 109 16. Chapter Seven Mechanical systems: earthquakes and car suspensions - p. 119 17. Chapter Eight PID control: functional sensitivity - p. 139 18. Chapter Nine Speed control of an induction motor - p. 153 19. Chapter Ten Uncertainty in public health: epidemics - p. 167 20. Chapter Eleven Uncertain future: a trip - p. 181 21. Index - p. 193
