Dynamics and Control of Trajectory Tubes

Theory and Computation

Alexander B. Kurzhanski, Pravin Varaiya (Autoren)

Buch | Softcover

XVIII, 445 Seiten

2016 | Softcover reprint of the original 1st ed. 2014
Springer International Publishing (Verlag)
978-3-319-36356-1 (ISBN)

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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.

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.

Erscheinungsdatum	16.09.2016
Reihe/Serie	Systems & Control: Foundations & Applications
Zusatzinfo	XVIII, 445 p. 106 illus., 74 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Algebraic Geometry • algebraic topology • automatic control engineering • Calculus of Variations • Calculus of Variations and Optimal Control • Control • convex and discrete Geometry • Discrete Mathematics • ellipsoidal calculus • Feedback Control • K-theory • Mathematics • mathematics and statistics • Optimization • reachability • State Estimation • trajectory tubes • uncertain inputs
ISBN-10	3-319-36356-5 / 3319363565
ISBN-13	978-3-319-36356-1 / 9783319363561
Zustand	Neuware