Approximate Controllability of Neutral Functional Differential Systems with State-Dependent Delay

作者：Fu, Xianlong^*; Zhang, Jialin

来源：Chinese Annals of Mathematics Series B, 2016, 37(2): 291-308.

DOI：10.1007/s11401-016-0934-z

• Approximate controllability
• Neutral functional differential system
• State-dependent delay
• Analytic semigroup
• Fractional power operator

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.

• 出版日期2016-3
• 单位华东师范大学