By Alexander B. Kurzhanski, Pravin Varaiya
This monograph provides theoretical tools regarding the Hamilton–Jacobi–Bellman formalism along with set-valued concepts of nonlinear research to resolve major difficulties in dynamics and keep watch over. The emphasis is on problems with reachability, suggestions keep watch over synthesis below complicated country constraints, not easy or double bounds on controls, and function in finite time. assured kingdom estimation, output suggestions keep watch over, and hybrid dynamics also are mentioned. even though the focal point is on platforms with linear constitution, the authors point out the way to observe every one method of nonlinear and nonconvex systems. The major theoretical effects result in computational schemes in accordance with extensions of ellipsoidal calculus that supply whole suggestions to the issues. those computational schemes in flip yield software program instruments that may be utilized successfully to high-dimensional systems. Ellipsoidal suggestions for difficulties of Dynamics and regulate: concept and Computation will curiosity graduate and senior undergraduate scholars, in addition to researchers and practitioners drawn to regulate thought, its functions, and its computational realizations.
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