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International Journal of Control Volume 90, 2017 - Issue 3
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Original Articles

On exponential stability of linear non-autonomous functional differential equations of neutral type

Pham Huu Anh NgocDepartment of Mathematics, Vietnam National University-HCMC, International University, Sai Gon, VietnamCorrespondence[email protected]
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&
Quang HaSchool of Electrical, Mechanical and Mechatronic Systems, Faculty of Engineering and Information Technology, University of Technology Sydney, New South Wales, AustraliaView further author information
Pages 438-446 | Received 21 Jan 2016, Accepted 23 Apr 2016, Published online: 17 Jun 2016
 
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ABSTRACT

General linear non-autonomous functional differential equations of neutral type are considered. A novel approach to exponential stability of neutral functional differential equations is presented. Consequently, explicit criteria are derived for exponential stability of linear non-autonomous functional differential equations of neutral type. A brief discussion to the obtained results and illustrative examples are given.

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Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The first author is supported by Vietnam National University Ho Chi Minh City (VNU-HCM) under the grant number B2015-28-01/HD_KHCN.

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