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Feedback control for fractional impulsive evolution systems

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成果类型:
期刊论文
作者:
Xiao, Cuie;Zeng, Biao;Liu, Zhenhai*
通讯作者:
Liu, Zhenhai
作者机构:
[Xiao, Cuie] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China.
[Zeng, Biao; Liu, Zhenhai] Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Cal, Nanning 530006, Guangxi Provinc, Peoples R China.
[Zeng, Biao; Liu, Zhenhai] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi Provinc, Peoples R China.
通讯机构:
[Liu, Zhenhai] G
Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Cal, Nanning 530006, Guangxi Provinc, Peoples R China.
语种:
英文
关键词:
Fractional impulsive evolution equation;Rieman-Liouville fractional derivatives;Feedback control;Feasible pairs;Optimal control
期刊:
Applied Mathematics and Computation
ISSN:
0096-3003
年:
2015
卷:
268
页码:
924-936
基金类别:
Project supported by NNSF of China grant nos. 11271087, 61263006, NSF of the Department of Education of Hunan Province grant no. 13A013 and NSF of Guangxi grant no. 2014GXNSFDA118002, Special Funds of Guangxi Distinguished Experts Construction Engineering and Science Research Project 2014 of the China-ASEAN Study Center (Guangxi Science Experiment Center) of Guangxi University for Nationalities .
机构署名:
本校为第一机构
院系归属:
理学院
摘要:
This paper is mainly concerned with feedback control systems governed by fractional impulsive evolution equations involving Riemann-Liouville derivatives in reflexive Banach spaces. We firstly give an existence and uniqueness result of mild solutions for the equations by applying the Banach's fixed point theorem. Next, by using the Filippove theorem and the Cesari property, a new set of sufficient assumptions are formulated to guarantee the existence result of feasible pairs. We also present an existence result of optimal cont...

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