摘要
对于一类广义区间系统 ,利用Lyapunov方法 ,研究了该系统的稳定性 .通过广义Lyapunov不等式的建立 ,得到了此系统结构稳定的充分必要条件是广义Lyapunov不等式有解 .在此基础上 ,建立了广义Riccati不等式 ,由此不等式得到了此系统二次能稳的充要条件是广义Riccati不等式有解 .这些结果将对进一步研究此系统有着重要的基础作用 .最后 ,举例说明了主要结果 .
The stability problem for a class of singular interval systems is considered. Through the establishment of a generalized Lyapunov inequality, a necessary and sufficient condition is derived for the systems to be structurally stable. The condition is that the generalized Lyapunov inequality has solutions. Then, another generalized Riccati inequality is founded. From the inequality, a necessary and sufficient condition for the systems to be quadratically stabilizable is established. The condition is that the generalized Riccati inequality has solutions. Two numerical examples are presented to illustrate the results.\;
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2003年第1期17-20,共4页
Control Theory & Applications
