Delay-dividing approach for absolute stability of Lurie control system with mixed delays

This paper studies the absolute stability problem for a Lurie control system with nonlinearity located in an infinite sector and finite one. By dividing the discrete delay interval into multiple segments and choosing proper Lyapunov functionals, some delay dependent stability criteria are derived to guarantee the stability of the Lurie control system. It is established theoretically that the criteria are less conservative than the previous ones. Numerical examples demonstrate the validity of the proposed criteria.