Some delay-dependent absolute stability criteria for Lurie control systems with timevarying delay are derived, in which some free-weighting matrices are used to express the relationships between the terms in the Leibn...Some delay-dependent absolute stability criteria for Lurie control systems with timevarying delay are derived, in which some free-weighting matrices are used to express the relationships between the terms in the Leibniz-Newton formula. These criteria are based on linear matrix inequality(LMI) such that the upper bound of time-delay guaranteeing the absolute stability and the free-weighting matrices can be obtained through the solutions of the LMI. Moreover, the Lyapunov functional constructed by the solutions of these LMIs is adopted to guarantee the absolute stability of the systems. Finally, some examples axe provided to demonstrate the effectiveness of the proposed methods.展开更多
文摘Some delay-dependent absolute stability criteria for Lurie control systems with timevarying delay are derived, in which some free-weighting matrices are used to express the relationships between the terms in the Leibniz-Newton formula. These criteria are based on linear matrix inequality(LMI) such that the upper bound of time-delay guaranteeing the absolute stability and the free-weighting matrices can be obtained through the solutions of the LMI. Moreover, the Lyapunov functional constructed by the solutions of these LMIs is adopted to guarantee the absolute stability of the systems. Finally, some examples axe provided to demonstrate the effectiveness of the proposed methods.
