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研究了多个执行机构的系数无界Lurie间接控制系统零解的绝对稳定性.首先,把研究对象看作大系统,利用大系统分解技术,把系统分解为一些孤立子系统,通过子系统的Lyapunov函数构造出Lurie间接控制系统的Lyapunov函数,进而得到系统绝对稳定性的多个判别准则.这些判别准则既适用于多个执行机构的系数无界Lurie间接控制系统,又适用于系数有界的这类系统,还适用于常系数的这类系统.同时,将有关结果成功推广应用于多个执行机构的系数无界Lurie间接控制大系统.
The absolute stability of the zero solution of the Lurie indirect control system with multiple unbounded coefficients of multiple actuators is studied.Firstly, the research object is regarded as a large system, and the system is decomposed into a number of orphan subsystems by means of the large-scale system decomposition technique. Through the Lyapunov Function to construct the Lyapunov function of Lurie indirect control system, and then obtain several criteria for determining the absolute stability of the system.These discriminant criteria are applicable to both Lurie indirect control system with coefficients of multiple actuators, and to such systems with bounded coefficients System, but also for such systems with constant coefficients.At the same time, the results have been successfully applied to a large number of Lurie indirect control systems with multiple actuators.