On delay-dependent stability for a class of linear neutral systems

In recent years, with the development of society and the progress of science and technology, the specific models of delay differential systems extensively exist in modern physics, space control study, ecology, management, networks systems, economics and many other scientific and engineering fields. As ordinary differential systems usually be an ideal state of the classical model, sometimes the small delay will have any significant impact on the system. Therefore, delay differential systems depict the movements of systems more accurately. Stability analysis of dynamical system theory is an important issue, it is a basic requirement in dynamic system. The stability is the necessary precondition in order to make all control systems operate normally. This paper discusses the asymptotic stability for a class of linear neutral systems. Linear neutral system is one of the most important differential systems, it has many good characters. By using the linear matrix inequalities and constructing Lyapunov functional, the sufficient conditions of asymptotically stable are obtained.