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On the sufficiency of the Hamilton-Jacobi-Bellman equation for optimality of the controls in a linear optimal-time problem |
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| Authors: | F Mignanego G Pieri |
| Affiliation: | Istituto di Matematica, Università di Genova, Via L.B. Alberti 4, 16132, Genova, Italy |
| Abstract: | We study sufficient conditions for optimally of the controls in a linear-autonomous optimal-time problem with Lipschitz-continuous cost functional. These conditions involve a generalized Hamilton-Jacobi-Bellman equation. |
| Keywords: | Minimal-time function Clarke generalized gradient Hamilton-Jacobi-Bellman equation |
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