Exponential Stability of Nonlinear Time-varying Differential Equations and Applications

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.

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Attribution 4.0 International

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