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Zbl 1156.34345
Gao, Jinfeng; Su, Hongye; Ji, Xiaofu; Chu, Jian
Stability analysis for a class of neutral systems with mixed delays and sector-bounded nonlinearity. (English)
[J] Nonlinear Anal., Real World Appl. 9, No. 5, 2350-2360 (2008). ISSN 1468-1218

Summary: This paper deals with the problem of absolute stability and robust stability of a class of neutral systems with sector-bounded nonlinearity and mixed time-varying delays. Some new delay-dependent stability criteria are presented based on Lyapunov stability theory and formulated in terms of strict linear matrix inequalities (LMIs). Neither model transformation nor bounding technique for cross terms is required in obtaining the stability conditions. Since both the neutral- and discrete-delays are taken into account, the obtained criterion is less conservative than the previous ones, which is illustrated by numerical examples.

MSC 2000:: *34K20 Stability theory of functional-differential equations
93E99 Stochastic systems and stochastic control

Keywords: neutral system; robust absolute stability; nonlinearity; mixed delays; linear matrix inequality (LMI)

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