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Dynamics and Control of Trajectory Tubes Theory and Computation /

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 stat...

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Main Authors: Kurzhanski, Alexander B. (Author, http://id.loc.gov/vocabulary/relators/aut), Varaiya, Pravin. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2014.
Edition:1st ed. 2014.
Series:Systems & Control: Foundations & Applications, 85
Subjects:
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.
Online Access:https://doi.org/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.

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