Approximate controllability of partial neutral functional differential systems of fractional order with state-dependent delay

作者：Yan Zuomao^*

来源：International Journal of Control, 2012, 85(8): 1051-1062.

DOI：10.1080/00207179.2012.675518

• approximate controllability
• partial neutral functional differential systems
• fractional derivative
• state-dependent delay
• analytic semigroup

We prove the approximate controllability of control systems governed by a class of partial neutral functional differential systems of fractional order with state-dependent delay in an abstract space. Sufficient conditions for approximate controllability of the control systems are established provided the approximate controllability of the corresponding linear control systems. The results are obtained by using the Krasnoselskii-Schaefer type fixed point theorem with the fractional power of operators. An example is provided to illustrate the main results.

• 出版日期2012
• 单位河西学院