By Alexander B. Kurzhanski
This monograph offers theoretical equipment related to the Hamilton–Jacobi–Bellman formalism along side set-valued ideas of nonlinear research to unravel major difficulties in dynamics and keep an eye on. The emphasis is on problems with reachability, suggestions keep watch over synthesis below advanced kingdom constraints, tough or double bounds on controls, and function in finite time. assured kingdom estimation, output suggestions regulate, and hybrid dynamics also are mentioned. even though the point of interest is on platforms with linear constitution, the authors point out find out how to follow every one method of nonlinear and nonconvex platforms. the most theoretical effects bring about 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 structures. Ellipsoidal suggestions for difficulties of Dynamics and keep watch over: conception and Computation will curiosity graduate and senior undergraduate scholars, in addition to researchers and practitioners drawn to keep watch over idea, its functions, and its computational realizations.