Approximate controllability of second-order distributed implicit functional systems
In this paper we study the approximate controllability of control systems with states and controls in Hilbert spaces, and described by a second-order semilinear abstract functional differential equation with infinite delay. Initially we establish a characterization for the approximate controllabilit...
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| Vydané v: | Nonlinear analysis Ročník 70; číslo 2; s. 1023 - 1039 |
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| Jazyk: | English |
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15.01.2009
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| ISSN: | 0362-546X, 1873-5215 |
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| Abstract | In this paper we study the approximate controllability of control systems with states and controls in Hilbert spaces, and described by a second-order semilinear abstract functional differential equation with infinite delay. Initially we establish a characterization for the approximate controllability of a second-order abstract linear system and, in the last section, we compare the approximate controllability of a semilinear abstract functional system with the approximate controllability of the associated linear system. |
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| AbstractList | In this paper we study the approximate controllability of control systems with states and controls in Hilbert spaces, and described by a second-order semilinear abstract functional differential equation with infinite delay. Initially we establish a characterization for the approximate controllability of a second-order abstract linear system and, in the last section, we compare the approximate controllability of a semilinear abstract functional system with the approximate controllability of the associated linear system. |
| Author | Henríquez, Hernán R. Hernández M, Eduardo |
| Author_xml | – sequence: 1 givenname: Hernan surname: Henriquez middlename: R fullname: Henriquez, Hernan R – sequence: 2 givenname: Eduardo surname: Hernandez fullname: Hernandez, Eduardo |
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| Keywords | secondary Controllability of systems Distributed control systems Partial functional differential equations Cosine functions of operators primary |
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| Title | Approximate controllability of second-order distributed implicit functional systems |
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