Absolute Stability of Neutral Systems with Lurie Type Nonlinearity

Abstract

The paper studies absolute stability of neutral differential nonlinear systems (x) over dot (t) = Ax (T) + Bx (t - tau) +D(x) over dot (T - tau) + bf (sigma(t)), sigma(t) = c(T) x(t), t >= 0 where x is an unknown vector, A, B and D are constant matrices, b and c are column constant vectors, tau > 0 is a constant delay and f is a Lurie-type nonlinear function satisfying Lipschitz condition. Absolute stability is analyzed by a general Lyapunov-Krasovskii functional with the results compared with those previously known.The paper studies absolute stability of neutral differential nonlinear systems (x) over dot (t) = Ax (T) + Bx (t - tau) +D(x) over dot (T - tau) + bf (sigma(t)), sigma(t) = c(T) x(t), t >= 0 where x is an unknown vector, A, B and D are constant matrices, b and c are column constant vectors, tau > 0 is a constant delay and f is a Lurie-type nonlinear function satisfying Lipschitz condition. Absolute stability is analyzed by a general Lyapunov-Krasovskii functional with the results compared with those previously known.