On the minimal time function for distributed control systems in Banach spaces (Q791865)
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scientific article; zbMATH DE number 3851878
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the minimal time function for distributed control systems in Banach spaces |
scientific article; zbMATH DE number 3851878 |
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On the minimal time function for distributed control systems in Banach spaces (English)
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1984
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In this paper, it is shown that the minimal time function is locally Lipschitz continuous for the control system \(x'=Ax+u\) in a Banach space E, under either of two conditions: A is linear and generates a \(C_ 0\)- semigroup of bounded linear operators; or A 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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distributed control problem
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minimal time function
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