New Robust Exponential Stability Criterion for Uncertain Neutral Systems with Discrete and Distributed Time-Varying Delays and Nonlinear Perturbations

and Applied Analysis 3 where h, r, g, μ, and δ are given positive constants. The initial condition functions φ t , φ t ∈ C −max{r, h, g}, 0 ,R denote continuous vector-valued initial function of t ∈ −max{r, h, g}, 0 with the norm ‖φ‖ sups∈ −max{r,h,g},0 ‖φ s ‖, ‖φ‖ sups∈ −max{r,h,g},0 ‖φ s ‖. The uncertain matrices ΔA t , ΔB t , and ΔD t are norm bounded and can be described as ΔA t EF t N1, ΔB t EF t N2, ΔD t EF t N3, 2.3 where E,Ni, i 1, 2, 3, are known constant matrices with appropriate dimensions. The uncertain matrix F t satisfies