Absolute Stability of General Lurie Direct Control Systems with Time-Varying Coefficients

摘要

Absolute stability of Lurie direct control systems with time-varying coefficients is studied in this paper. By using the method of Lyapunov functions and the decomposition techniques of large-scale systems, some absolute stability criterions of this kind of systems were obtained. The criterions, introduced in this paper, can not only be used in the direct Lurie control systems with norm-unbounded coefficients, but also can be used in the direct Lurie control systems with norm-bounded or constant coefficients. At last, two examples are given to illustrate the effectiveness of the criterions.