Problems in optical control: (I) Properties of Bellman's function in time-optimal problems. (II) Optimal feedback controls of hereditary differential systems
Abstract
In chapter 2 time optimal control problems with closed terminal sets are considered. Criteria are given for the Lipschitz continuity and for the Holder continuity of the value function. Then it is proved that the condition for Lipschitz continuity is also necessary. In chapter 3 optimal feedback control problems for hereditary differential systems are considered. It is proved that the value function is Lipschitz continuous in an appropriate state space with reasonable assumptions on the data. A Hamilton-Jacobi theory for these systems is then developed. An optimal feedback process is constructed and the convergence of the constructed process is proved.
Degree
Ph.D.
Advisors
Berkovitz, Purdue University.
Subject Area
Mathematics|Electrical engineering
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