On the stabilization of nonlinear continuous-time systems in Hilbert spaces (Q1430490)
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scientific article; zbMATH DE number 2067257
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the stabilization of nonlinear continuous-time systems in Hilbert spaces |
scientific article; zbMATH DE number 2067257 |
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On the stabilization of nonlinear continuous-time systems in Hilbert spaces (English)
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27 May 2004
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The authors study the stabilization problem for the control system \[ x'(t)= A(t) x(t)+ B(t) u(t)+ f(t, x(t),u(t)), \] where \(A(t)\) generates a \(C_0\) semigroup with dense domain in a Hilbert space. Based on a suitable controllability assumption, complete stabilizability conditions are presented in terms of the solution of Riccati operator equations.
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