Absolute stability of Lurie systems and Lurie large-scale systems with multiple operators and unbounded coefficients

The absolute stability of multi-functional Lurie indirect control systems with multiple operators and unbounded coefficients was studied. The systems were regarded as large-scale systems. Based on the decomposition technique, the considered systems were partitioned into some isolated subsystems. By making use of the Lyapunov functions of subsystems, the Lyapunov function of Lurie indirect control systems was constructed, and some stability criteria of Lurie indirect control systems were contained. The results were also extended into large-scale indirect control Lurie systems with multiple operators and unbounded coefficients.