Dynamics and control of trajectory tubes : theory and computation /

Dynamics and control of trajectory tubes : theory and computation /

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Bibliographic Details
Author / Creator:	Kurzhanskiĭ, A. B., author.
Imprint:	Cham : Birkhäuser, 2014.
Description:	1 online resource (xviii, 445 pages) : illustrations (some color).
Language:	English
Series:	Systems & Control: Foundations & Applications, 2324-9749 ; 85 Systems & control ; 85.
Subject:	Control theory. Differentiable dynamical systems. Differential inclusions. Control theory. Differentiable dynamical systems. Differential inclusions.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11089112

Hidden Bibliographic Details
Other authors / contributors:	Varaiya, P. P. (Pravin Pratap), author.
ISBN:	9783319102771 331910277X 3319102761 9783319102764
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed November 24, 2014).
Summary:	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. Dynamics and Control of Trajectory Tubes: 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.
Other form:	Printed edition: 9783319102764
Standard no.:	10.1007/978-3-319-10277-1

Table of Contents:

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.