Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626267 | Applied Mathematics and Computation | 2015 | 9 Pages |
Abstract
In this paper, the problem of the input to state stability (ISS) for nonlinear systems with time-delay is investigated. A continuously differentiable Lyapunov–Krasovskii functional with indefinite derivative is introduced to derive the ISS of the systems, which generalizes the classic Lyapunov–Krasovskii functional with positive definite derivative. As a result, the uniform stability and uniform asymptotic stability criteria of nonlinear systems with time-delay are also established by employing the proposed Lyapunov–Krasovskii functional.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chongyang Ning, Yong He, Min Wu, Shaowu Zhou,