By Alexander B. Kurzhanski, Pravin Varaiya
This monograph offers theoretical tools related to the Hamilton–Jacobi–Bellman formalism at the side of set-valued strategies of nonlinear research to unravel major difficulties in dynamics and keep watch over. The emphasis is on problems with reachability, suggestions keep an eye on synthesis lower than complicated country constraints, tough or double bounds on controls, and function in finite time. assured nation estimation, output suggestions keep an eye on, and hybrid dynamics also are mentioned. even if the point of interest is on platforms with linear constitution, the authors point out the way to practice each one method of nonlinear and nonconvex systems. The major theoretical effects result in computational schemes according to extensions of ellipsoidal calculus that offer entire options to the issues. those computational schemes in flip yield software program instruments that may be utilized successfully to high-dimensional systems. Ellipsoidal recommendations for difficulties of Dynamics and keep an eye on: thought and Computation will curiosity graduate and senior undergraduate scholars, in addition to researchers and practitioners drawn to regulate conception, its purposes, and its computational realizations.
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