Asymptotic stability analysis of certain neutral differential equations: A descriptor system approach

Based on the descriptor and “neutral type” model transformation, some corresponding Lyapunov-Krasovskii functionals are introduced for stability analysis of certain neutral differential equations. Delay-dependent and delay-independent stability criteria are given in terms of linear matrix inequalities. The proposed criteria are less conservative and restrictive than other existing criteria since they are based on an equivalent neutral model transformation or parameterized transformation. Examples are given to illustrate advantages of our approach.