Reachable Sets of Dynamic Systems: Uncertainty, Sensitivity, and Complex Dynamics: Uncertainty, Computational Techniques, and Decision Intelligence
Autor Stanislaw Raczynskien Limba Engleză Paperback – 26 apr 2023
- Introduces methodologies and approaches to the modeling and simulation of dynamic systems
- Presents uncertainty treatment and model sensitivity are described, and interdisciplinary examples
- Explores applications of differential inclusions in modeling and simulation
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Specificații
ISBN-13: 9780443133848
ISBN-10: 0443133840
Pagini: 214
Dimensiuni: 152 x 229 x 20 mm
Greutate: 0.29 kg
Editura: ELSEVIER SCIENCE
Seria Uncertainty, Computational Techniques, and Decision Intelligence
ISBN-10: 0443133840
Pagini: 214
Dimensiuni: 152 x 229 x 20 mm
Greutate: 0.29 kg
Editura: ELSEVIER SCIENCE
Seria Uncertainty, Computational Techniques, and Decision Intelligence
Public țintă
Graduate students, researchers, and professional engineers working in the fields of computer simulation and model buildingCuprins
1. Differential inclusions
2. Differential inclusion solver
3. Market optimization and uncertainty
4. Uncertainty in stock markets
5. Flight maneuver reachable sets
6. Vessel dynamics and reachable sets
7. Mechanical systems: earthquakes and car suspensions
8. PID control: functional sensitivity
9. Speed control of an induction motor
10. Uncertainty in public health: epidemics
11. Uncertain future: a trip
2. Differential inclusion solver
3. Market optimization and uncertainty
4. Uncertainty in stock markets
5. Flight maneuver reachable sets
6. Vessel dynamics and reachable sets
7. Mechanical systems: earthquakes and car suspensions
8. PID control: functional sensitivity
9. Speed control of an induction motor
10. Uncertainty in public health: epidemics
11. Uncertain future: a trip
Recenzii
"The most important object…is the reachable set, which is understood as the union of graphs of all trajectories of the differential inclusion. Another essential concept developed by the author is functional sensitivity which is defined by using concepts of the calculus of variations... The principal feature of this monograph… is its constructive approach…recommended [for] students, researchers and engineers who are interested in control theory and differential inclusions as well as in the problems of computer simulation in these fields." --Valeri Obukhovskii, MathSciNet
"In this book it is presented the so called tychastic approach to treatment of the uncertainty. This approach is suitable for situations, where probabilistic characteristics of the simulated objects data are hardly available, or they do not exist at all. Then, a more realistic information concerns the possible bounds for the values of the parameters. Such information may provide a rough assessment of the real system behavior, but in many cases, this may be the only way to obtain reasonable results. This way of treating uncertainty leads in a natural way to applications of differential inclusions that are generalizations of a ordinary differential equations and are used as a main modelling tool in the book." --Mikhail I. Krastanov, zbMATHOpen
"In this book it is presented the so called tychastic approach to treatment of the uncertainty. This approach is suitable for situations, where probabilistic characteristics of the simulated objects data are hardly available, or they do not exist at all. Then, a more realistic information concerns the possible bounds for the values of the parameters. Such information may provide a rough assessment of the real system behavior, but in many cases, this may be the only way to obtain reasonable results. This way of treating uncertainty leads in a natural way to applications of differential inclusions that are generalizations of a ordinary differential equations and are used as a main modelling tool in the book." --Mikhail I. Krastanov, zbMATHOpen