Exponential Stability of Nonlinear Time-varying Differential Equations and Applications
dc.contributor.author | Linh, Nguyen Manh | |
dc.contributor.author | Phat, Vu Ngoc | |
dc.date.accessioned | 2020-06-03T17:44:57Z | |
dc.date.available | 2020-06-03T17:44:57Z | |
dc.date.issued | 2001-05-14 | |
dc.description.abstract | In this paper, we give sufficient conditions for the exponential stability of a class of nonlinear time-varying differential equations. We use the Lyapunov method with functions that are not necessarily differentiable; hence we extend previous results. We also provide an application to exponential stability for nonlinear time-varying control systems. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 13 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Linh, N. M., & Phat, V. N. (2001). Exponential stability of nonlinear time-varying differential equations and applications. Electronic Journal of Differential Equations, 2001(34), pp. 1-13. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/11105 | |
dc.language.iso | en | |
dc.publisher | Southwest Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | Exponential stability | |
dc.subject | Time-varying equations | |
dc.subject | Lyapunov function | |
dc.subject | Lipschitz condition | |
dc.subject | Control systems | |
dc.title | Exponential Stability of Nonlinear Time-varying Differential Equations and Applications | |
dc.type | Article |