An improved stability criterion for a class of neutral differential equations

• DOI: 10.1016/j.aml.2007.11.006
• Publication Date: 2008-03-31T07:19:09Z
• Authors: P.T. Nam; V.N. Phat
• Keywords: Lyapunov function; Asymptotical stability; Neutral differential equation; Applied Mathematics; 0101 mathematics; Linear matrix inequality; 01 natural sciences

AbstractThis work gives an improved criterion for asymptotical stability of a class of neutral differential equations. By introducing a new Lyapunov functional, we avoid the use of the stability assumption on the main operators and derive a novel stability criterion given in terms of a LMI, which is less restricted than that given by Park [J.H. Park, Delay-dependent criterion for asymptotic stability of a class of neutral equations, Appl. Math. Lett. 17 (2004) 1203–1206] and Sun et al. [Y.G. Sun, L. Wang, Note on asymptotic stability of a class of neutral differential equations, Appl. Math. Lett. 19 (2006) 949–953].