Linh, Nguyen ManhPhat, Vu Ngoc2020-06-032020-06-032001-05-14Linh, N. M., & Phat, V. N. (2001). Exponential stability of nonlinear time-varying differential equations and applications. <i>Electronic Journal of Differential Equations, 2001</i>(34), pp. 1-13.1072-6691https://hdl.handle.net/10877/11105In 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.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalExponential stabilityTime-varying equationsLyapunov functionLipschitz conditionControl systemsArticle