多个执行机构的系数无界Lurie系统和Lurie大系统的绝对稳定性

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

摘要: 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.

Abstract: 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.