Exponential Stability of Nonlinear Time-varying Differential Equations and Applications

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dc.contributor.authorLinh, Nguyen Manh
dc.contributor.authorPhat, Vu Ngoc
dc.date.accessioned2020-06-03T17:44:57Z
dc.date.available2020-06-03T17:44:57Z
dc.date.issued2001-05-14
dc.description.abstractIn 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.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLinh, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/11105
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectExponential stability
dc.subjectTime-varying equations
dc.subjectLyapunov function
dc.subjectLipschitz condition
dc.subjectControl systems
dc.titleExponential Stability of Nonlinear Time-varying Differential Equations and Applications
dc.typeArticle

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