EAN: 9783319102764

DYNAMICS AND CONTROL OF TRAJECTORY TUBES - ALEX...

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.

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