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Stability analysis for a class of neutral systems with mixed delays and sector-bounded nonlinearity. (English) Zbl 1156.34345
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:
34K20Stability theory of functional-differential equations
93E99Stochastic systems and stochastic control