Regularity of the Minimum Time Function and Minimum Energy Problems: The Linear Case
Regularity of the Minimum Time Function and Minimum Energy Problems: The Linear Case
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DOI：
10.1137/s0363012996312763
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发表时间：
1999-04
影响因子：
2.2
通讯作者：
Fausto Gozzi;P. Loreti
中科院分区：
文献类型：
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作者：
Fausto Gozzi;P. Loreti
证明了可分Hilbert空间H中线性动力系统最小时间函数的连续性和可达集的新结果。部分结果在有限维情形下也是新的。利用最小时间函数与最小能量之间的联系，给出了正则性结果。
We prove new results on the continuity properties and on reachable sets of the minimum time function associated with a linear dynamical system in a separable Hilbert space H. Part of the results are new also in the finite dimensional case. The regularity results are stated thanks to the result we obtain on the connection between the minimum time function and the minimum energy.