Uniqueness results for the value function via direct trajectory-construction methods
نویسنده
چکیده
We present some new results, together with a number of particularly simple and userfriendly versions of results obtained in recent years by the author and M. Malisoff, on the uniqueness of solutions of the Hamilton-Jacobi-Bellman equation (HJBE) for deterministic finite-dimensional optimal control problems under non-standard hypotheses. Our approach is completely controltheoretic and totally self-contained, using the systematic construction of special trajectories of various kinds, and not involving any PDE methods. We donot assume that the Lagrangian is positive, or that the dynamics is Lipschitz-continuous.
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