We address the challenging problem of the exponential stability of nonlinear time-varying functional differential equations of neutral type. By a novel approach, we present explicit sufficient conditions for the exponential stability of nonlinear time-varying neutral functional differential equations. A discussion of the obtained results and illustrative examples are given.

Accepted:

DOI: 10.1051/cocv/2016075

Keywords: Functional differential equation, neutral equation, exponential stability

^{1}; Tran, Thai Bao

^{2}; Tinh, Cao Thanh

^{3}

@article{COCV_2018__24_1_89_0, author = {Anh Ngoc, Pham Huu and Tran, Thai Bao and Tinh, Cao Thanh}, title = {On stability of nonlinear neutral functional differential equations}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {89--104}, publisher = {EDP-Sciences}, volume = {24}, number = {1}, year = {2018}, doi = {10.1051/cocv/2016075}, mrnumber = {3764135}, zbl = {1410.34220}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/cocv/2016075/} }

TY - JOUR AU - Anh Ngoc, Pham Huu AU - Tran, Thai Bao AU - Tinh, Cao Thanh TI - On stability of nonlinear neutral functional differential equations JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2018 SP - 89 EP - 104 VL - 24 IS - 1 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv/2016075/ DO - 10.1051/cocv/2016075 LA - en ID - COCV_2018__24_1_89_0 ER -

%0 Journal Article %A Anh Ngoc, Pham Huu %A Tran, Thai Bao %A Tinh, Cao Thanh %T On stability of nonlinear neutral functional differential equations %J ESAIM: Control, Optimisation and Calculus of Variations %D 2018 %P 89-104 %V 24 %N 1 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv/2016075/ %R 10.1051/cocv/2016075 %G en %F COCV_2018__24_1_89_0

Anh Ngoc, Pham Huu; Tran, Thai Bao; Tinh, Cao Thanh. On stability of nonlinear neutral functional differential equations. ESAIM: Control, Optimisation and Calculus of Variations, Volume 24 (2018) no. 1, pp. 89-104. doi : 10.1051/cocv/2016075. http://archive.numdam.org/articles/10.1051/cocv/2016075/

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