The constructive approach on existence of time optimal controls of system governed by nonlinear equations on Banach spaces
JinRong Wang, Guizhou University, Guiyang, Guizhou, P. R. China E. J. Qualitative Theory of Diff. Equ., No. 45. (2009), pp. 1-10.
X. Xiang, Guizhou University, Guiyang, Guizhou, P. R. China
W. Wei, Guizhou University, Guiyang, Guizhou, P. R. China
| Communicated by Bo Zhang. | Received on 2009-01-13 Appeared on 2009-07-20 |
Abstract: In this paper, a new approach to the existence of time optimal controls of system governed by nonlinear equations on Banach spaces is provided. A sequence of Meyer problems is constructed to approach a class of time optimal control problems. A deep relationship between time optimal control problems and Meyer problems is presented. The method is much different from standard methods.
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