
Dynamics and Control of Trajectory Tubes
Theory and Computation
Birkhäuser (Publisher)
1st Edition
Published on 10. September 2016
Book
Paperback/Softback
XVIII, 445 pages
978-3-319-36356-1 (ISBN)
Description
This monograph presents theoretical methods involving the Hamilton-Jacobi-Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control. The emphasis is on issues of reachability, feedback control synthesis under complex state constraints, hard or double bounds on controls, and performance in finite time. Guaranteed state estimation, output feedback control, and hybrid dynamics are also discussed. Although the focus is on systems with linear structure, the authors indicate how to apply each approach to nonlinear and nonconvex systems. The main theoretical results lead to computational schemes based on extensions of ellipsoidal calculus that provide complete solutions to the problems. These computational schemes in turn yield software tools that can be applied effectively to high-dimensional systems. Ellipsoidal Techniques for Problems of Dynamics and Control: Theory and Computation will interest graduate and senior undergraduate students, as well as researchers and practitioners interested in control theory, its applications, and its computational realizations.
More details
Product info
Previously published in hardcover
Series
Edition
Softcover reprint of the original 1st ed. 2014
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
32
74 farbige Abbildungen, 32 s/w Abbildungen
XVIII, 445 p. 106 illus., 74 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 24 mm
Weight
782 gr
ISBN-13
978-3-319-36356-1 (9783319363561)
DOI
10.1007/978-3-319-10277-1
Schweitzer Classification
Other editions
Additional editions

Alexander B. Kurzhanski | Pravin Varaiya
Dynamics and Control of Trajectory Tubes
Theory and Computation
Book
11/2014
Springer
€53.49
Shipment within 10-15 days
Content
Preface.- 1. Linear Control Systems.- 2. The Dynamic Programming Approach.- 3. Ellipsoidal Techniques: Reachability and Control Synthesis.- 4. Solution Examples on Ellipsoidal Methods: Computation in High Dimensions.- 5. The Comparison Principle: Nonlinearity and Nonconvexity.- 6. Impulse Control and Double Constraints.- 7. Dynamics and Control under State Constraints.- 8. Trajectory Tubes: State-Constrained Feedback Control.- 9. Guaranteed State Estimation.- 10. Uncertain Systems: Output Feedback Control.- 11. Verification: Hybrid Systems.