Some improved criteria on exponential stability of neutral differential equation

Springer Science and Business Media LLC - Tập 2012 - Trang 1-9 - 2012
Huabin Chen1
1Department of Mathematics, School of Science, Nanchang University, Nanchang, Jiangxi, P.R. China

Tóm tắt

In this paper, some improved delay-dependent exponential stability criteria of the neutral delayed differential equation are expressed in terms of linear matrix inequalities (LMIs). Compared with some existing ones, our results are derived without the use of the mode transformation method and the bounding technique. Three numerical examples are provided to show the effectiveness of the proposed method and less conservatism of the obtained results.

Tài liệu tham khảo

EI-Morshedy HA, Gopalsamy K: Nonoscillation, oscillation and convergence of a class of neutral equations. Nonlinear Anal. 2000, 40: 173–183. 10.1016/S0362-546X(00)85010-5

Kulenovic M, Ladas G, Meimaridou A: Necessary and sufficient conditions for oscillations of neutral differential equations. J. Aust. Math. Soc. Ser. B, Appl. Math 1987, 28: 362–375. 10.1017/S0334270000005452