Stability research of delay neutral Lurie systems

The absolute stability of delay neutral Lurie system is studied in this paper. By dividing the discrete delay interval into different of sections and constructing the right Lyapunov-Krasovskii functions, two delay-dependent criteria for absolute stability of neutral systems in infinite sector and finite sector were respectively derived. The judgment criteria are both discrete delay dependent and neutral delay dependent, but also in terms of a linear matrix inequality which can be easily solved by Matlab toolbox. Finally, numerical example verified the validity and feasibility of this method.