Abstract
AbstractThe exponential input-to-state stability (ISS) property is considered for systems of controlled nonlinear ordinary differential equations. A characterisation of this property is provided, including in terms of a so-called exponential ISS Lyapunov function and a natural concept of linear state/input-to-state $$L^2$$
L
2
-gain. Further, the feedback connection of two exponentially ISS systems is shown to be exponentially ISS provided a suitable small-gain condition is satisfied.
Funder
Royal Society of Edinburgh
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Control and Optimization,Signal Processing,Control and Systems Engineering
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献