On the minimal time function for distributed control systems in Banach spaces |
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Authors: | O Cârja |
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Institution: | (1) Institute of Mathematics, University of Iasi, Iasi, Romania |
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Abstract: | In this paper, it is shown that the minimal time function is locally Lipschitz continuous for the control systemx =Ax+u in a Banach spadeE, under either of two conditions:A is linear and generates aC
0-semigroup of bounded linear operators; orA is nonlinear, possibly multivalued, and dissipative. The main tool used for the nonlinear case is a result of Barbu concerning the null controllability of the system. |
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Keywords: | Differential equations Banach spaces distributed control problems controllability minimal time function |
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