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| Approximate Controllability of Neutral Functional Differential Systems with State-Dependent Delay |
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Citation： |
Xianlong FU,Jialin ZHANG.Approximate Controllability of Neutral Functional Differential Systems with State-Dependent Delay[J].Chinese Annals of Mathematics B,2016,37(2):291~308 |
| Page view： 6730
Net amount： 3977 |
Authors： |
Xianlong FU; Jialin ZHANG |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11171110, 11371087), the Science and
Technology Commission of Shanghai Municipality (No.13dz2260400)
and the Shanghai Leading Academic Discipline Project (No.B407). |
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| Abstract： |
This paper deals with the approximate controllability of semilinear
neutral functional differential systems with state-dependent delay.
The fractional power theory and $\alpha$-norm are used to discuss
the problem so that the obtained results can apply to the systems
involving derivatives of spatial variables.~By methods of functional
analysis and semigroup theory, ~sufficient conditions of approximate
controllability are formulated and proved. Finally,~an example is
provided to illustrate the applications of the obtained results. |
Keywords： |
Approximate controllability, Neutral functional differential system,
State-dependent delay, Analytic semigroup, Fractional power operator |
Classification： |
34K30, 34K35, 35R10, 49K24, 93B05 |
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