Abstract
ABSTRACT Sub-optimal policies for the fuel optimal control and energy optimal control problems for a linear-time invariant system [xdot] = Ax = Bu, ‖u‖ ≤ M are obtained through the use of Liapunov functions. The closed-loop sub-optimal policies are employed for the design of controllers with the help of a special class of solutions of the Hamilton-Jacobi equation. The theory for both classes of optimal-control problems is illustrated by examples.
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