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2014 IMPULSIVE CONTROLLABILITY OF MULTI-VALUED FUNCTIONAL DIFFERENTIAL SYSTEMS
Zhi-Qiang Zhu
Taiwanese J. Math. 18(5): 1377-1387 (2014). DOI: 10.11650/tjm.18.2014.2242

Abstract

This paper is concerned with the study of controllability for a class of multi-valued functional differential systems with impulses and delayed control. By making use of fixed point theorem for multi-valued maps, we prove that our system is completely controllable. The result is obtained in the sense of Carathéodory, and without the requirement that the linear part is controllable.

Citation

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Zhi-Qiang Zhu. "IMPULSIVE CONTROLLABILITY OF MULTI-VALUED FUNCTIONAL DIFFERENTIAL SYSTEMS." Taiwanese J. Math. 18 (5) 1377 - 1387, 2014. https://doi.org/10.11650/tjm.18.2014.2242

Information

Published: 2014
First available in Project Euclid: 10 July 2017

zbMATH: 1357.34127
MathSciNet: MR3265068
Digital Object Identifier: 10.11650/tjm.18.2014.2242

Subjects:
Primary: 34K09 , 34k35 , 34K45

Keywords: Controllability , fixed point , functional differential system , impulse , ‎multi-valued map

Rights: Copyright © 2014 The Mathematical Society of the Republic of China

Vol.18 • No. 5 • 2014
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