广义周期时变系统的允许性分析

Analysis of admissibility for periodically time-varying descriptor systems

研究了广义周期时变系统的允许性问题.通过研究背景的介绍,给出了系统允许的概念;建立了Lyapunov不等式,把系统的允许性问题转化为Lyapunov不等式的数值解问题,并利用矩阵不等式方法进一步讨论了系统的允许性,得到了系统允许的充分必要条件和两个推论.最后通过数值算例说明了所得出的主要结果.

This study concerns admissibility problems for periodically time-varying descriptor systems. First, the concept of admissibility was given by introducing research background for periodically time-varying descriptor systems. Then, the problem of admissibility was deduced into the solution of Lyapunov inequalities via establishing Lyapunov inequalities, and using matrix inequalities, admissibility of system was furthermore discussed. Based on these results, a sufficient and necessary condition for systems to be admissible was derived. A numerical example was used to illustrate the main result.