×

zbMATH — the first resource for mathematics

New criterion for asymptotic stability of time-varying dynamical systems. (English) Zbl 1424.93174
Summary: In this paper, we establish some new sufficient conditions for uniform global asymptotic stability for certain classes of nonlinear systems. Lyapunov approach is applied to study exponential stability and stabilization of time-varying systems. Sufficient conditions are obtained based on new nonlinear differential inequalities. Moreover, some examples are treated and an application to control systems is given.
MSC:
93D20 Asymptotic stability in control theory
93C10 Nonlinear systems in control theory
PDF BibTeX XML Cite
Full Text: DOI Link