一般广义时变系统的容许性和二次容许性

针对一般广义时变系统, 采用广义Lyapunov 不等式和受限等价变换的分析方法, 提出了一般广义时变系统容许性和二次容许性的概念, 建立了一般广义时变系统的Lyapunov 不等式. 将一般广义时变系统容许性问题转化为求解Lyapunov 不等式问题, 获得了该类系统容许和二次容许的充要条件, 所得结论是广义系统容许性研究成果向一般广义时变系统的自然推广. 最后, 通过数值算例验证了所得结论的有效性.

Admissibility and quadratic admissibility for time-varying general singular system

Considering the time-varying general singular system, by using the analysis method of singular Lyapunovinequality and restrained equal transformation，the concept of admissibility and quadratic admissibility for the time-varying general singular system is proposed, a Lyapunov inequality for time-varying general singular system is established, the problem of admissibility for time-varying general singular system is transformed into solving the Lyapunov inequality problem. The necessary and sufficient conditions of admissibility and quadratic admissibility are obtained for the system. The conclusions of admissibility research achievements are natural extend from singular system to the time-varying general singular system. Finally, a numerical example is provided to demonstrate the effectiveness of the obtained conclusions.