非线性时滞奇异系统的严格实用稳定性研究

STRICT PRACTICAL STABILITY OF NONLINEAR SINGULAR SYSTEMS WITH TIME DELAY

将严格实用稳定性相关概念推广到具有控制输入的非线性奇异系统,利用两个Lyapunov函数方法和比较原理,得出其严格实用稳定及严格实用渐近稳定的判别准则.另外,我们给出了含有时滞的非线性奇异系统关于两个测度严格实用稳定的定义,并得出该类系统严格实用稳定及严格实用渐近稳定的充分条件.

In this paper,we give the definitions of strict practical stability in nonlinear singular systems with control input. The discriminate criterion of strict practical stability and strict practical asymptotic stability are derived by two Lyapunov functions and a comparison principle. Furthermore,we define strict practical stability for the nonlinear singular systems with time delay in terms of two measurements and give sufficient conditions of the strict practical stability.