Exponential Stability of Nonlinear Time-varying Differential Equations and Applications
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Date
2001-05-14
Authors
Linh, Nguyen Manh
Phat, Vu Ngoc
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Exponential stability, Time-varying equations, Lyapunov function, Lipschitz condition, Control systems
Citation
Linh, 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.
Rights
Attribution 4.0 International