具多时滞及多重非线性Lurie间接控制系统的绝对稳定性

Absolute Stability of Lurie Indirect Control Systems with Multiple Delays and Multiple Nonlinearities

针对具有多个变时滞及多重非线性Lurie间接控制系统的绝对稳定性问题,通过构造一个正定的Lyapunov-Krasovskii泛函并分析其导数的负定性,得到了具有多个时滞的多重非线性Lurie系统绝对稳定的充分条件。同时,它们对单非线性Lurie系统也是有效的。

The absolute stability of Lurie indirect control systems with multiple time-varying delays and multiple nonlinearities is studied.By constructing a positive definite Lyapunov-Krasovskii functional and analyzing the negative properties of its derivative,sufficient conditions for the absolute stability of multiple nonlinear Lurie systems with multiple time delays are obtained.At the same time,they are also valid for single nonlinear Lurie systems.