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Dynamics and Control of Trajectory Tubes : Theory and Computation / / by Alexander B. Kurzhanski, Pravin Varaiya



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Autore: Kurzhanski Alexander B Visualizza persona
Titolo: Dynamics and Control of Trajectory Tubes : Theory and Computation / / by Alexander B. Kurzhanski, Pravin Varaiya Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2014
Edizione: 1st ed. 2014.
Descrizione fisica: 1 online resource (457 p.)
Disciplina: 671.832
Soggetto topico: Calculus of variations
Control engineering
Convex geometry 
Discrete geometry
K-theory
Calculus of Variations and Optimal Control; Optimization
Control and Systems Theory
Convex and Discrete Geometry
K-Theory
Persona (resp. second.): VaraiyaPravin
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Dynamics and Control of Trajectory Tubes  Visualizza cluster
ISBN: 3-319-10277-X
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910299973803321
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Serie: Systems & Control: Foundations & Applications, . 2324-9749 ; ; 85