An improved delay-dependent stability criterion for neutral systems with mixed time-delays and nonlinear perturbations

In this paper, we consider the problem of delay-dependent robust stability of a class of linear neutral systems with mixed time-delays and nonlinear perturbations using Lyapunov-Krasovskii functional approach. By constructing a candidate Lyapunov-Krasovskii (LK) functional, a less conservative robust delay-dependent stability criterion is proposed in terms of matrix inequalities. Reduction in conservatism of the proposed stability criterion over recently reported results is attributed to the candidate LK functional, and to tighter bounding of the time-derivative of the functional without neglecting any useful terms in the delay-dependent stability analysis. The analysis, eventually, culminates into a stability condition in convex LMI framework, and is solved non-conservatively at boundary conditions. The effectiveness of the proposed stability criterion is demonstrated through standard numerical examples.