STABILITY ANALYSIS OF NONLINEAR MULTIPARAMETER SINGULARLY PERTURBED SYSTEMS.

被引：0

作者：

Khalil, Hassan K. ^{[1
]}

机构：

[1] Michigan State Univ, East Lansing,, MI, USA, Michigan State Univ, East Lansing, MI, USA

来源：

IEEE Transactions on Automatic Control | 1987年 / AC-32卷 / 03期

关键词：

Control systems; Multivariable - ELECTRIC NETWORKS; NONLINEAR - Analysis - Electric networks; Time varying - System stability;

D O I：

10.1109/tac.1987.1104564

中图分类号：

学科分类号：

摘要：

Asymptotic stability of nonlinear multiparameter singularly perturbed systems is analyzed. Sufficient conditions for existence of a Lyapunov function and uniform asymptotic stability are derived. The new feature of these conditions over earlier results is that there is no restriction on the relative magnitudes of the small singular perturbation parameters. Moreover, the class of systems under consideration can be nonlinear in both the slow and fast variables, while earlier results were limited to systems linear in the fast variables.

引用

页码：260 / 263