Criteria for asymptotic stability of a class of neutral systems via a LMI approach

Abstract

The asymptotic stability of a class of neutral systems with multiple discrete and distributed time delays is considered. The Lyapunov stability theorem and a linear matrix inequality (LMI) approach are applied to solve the stability problem for such systems. Discrete-delay-independent and discrete-delay-dependent criteria are proposed to guarantee stability for the systems considered. Some numerical examples are given to illustrate that the results obtained are not conservative.