Abstract
AbstractIn this paper, we consider the problem of delay-dependent robust stability of a class of linear uncertain neutral systems with time-varying delays using Lyapunov-Krasovskii functional approach. By constructing a candidate Lyapunov-Krasovskii (LK) functional, a less conservative stability criterion is derived in terms of linear matrix inequalities (LMIs). In addition to the LK functional candidate, conservativeness in the proposed stability analysis is further reduced by imposing tighter bounding on the time-derivative of the functional using minimal number of slack matrix variables. The proposed analysis, subsequently, yields a stability criterion in convex LMI framework, and is solved non-conservatively at boundary conditions using standard LMI solvers. The effectiveness of the proposed stability criterion is demonstrated through a standard numerical example.KeywordsNeutral systemsDelay-dependent stabilityLK functionalLinear Matrix InequalityRobust stability
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